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131033011121320 = 235711411037638669
BaseRepresentation
bin11101110010110010000000…
…000101001110110010101000
3122011221122002211200102112211
4131302302000011032302220
5114133321101321340240
61142403422335214504
736412552111311640
oct3562620005166250
9564848084612484
10131033011121320
1138829873833170
12128430aa377434
13581648a9c23b9
14245006290d520
151023708e77bea
hex772c8014eca8

131033011121320 has 128 divisors (see below), whose sum is σ = 376538320569600. Its totient is φ = 39845324851200.

The previous prime is 131033011121291. The next prime is 131033011121359. The reversal of 131033011121320 is 23121110330131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131033011121291 and 131033011121300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518693055 + ... + 518945614.

It is an arithmetic number, because the mean of its divisors is an integer number (2941705629450).

Almost surely, 2131033011121320 is an apocalyptic number.

131033011121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131033011121320 is an abundant number, since it is smaller than the sum of its proper divisors (245505309448280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131033011121320 is a wasteful number, since it uses less digits than its factorization.

131033011121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037638739 (or 1037638735 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131033011121320 its reverse (23121110330131), we get a palindrome (154154121451451).

The spelling of 131033011121320 in words is "one hundred thirty-one trillion, thirty-three billion, eleven million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1148 1435 1540 1640 1804 2255 2296 2870 3080 3157 3608 4510 5740 6314 9020 11480 12628 15785 18040 25256 31570 63140 126280 1037638669 2075277338 4150554676 5188193345 7263470683 8301109352 10376386690 11414025359 14526941366 20752773380 22828050718 29053882732 36317353415 41505546760 42543185429 45656101436 57070126795 58107765464 72634706830 79898177513 85086370858 91312202872 114140253590 145269413660 159796355026 170172741716 212715927145 228280507180 290538827320 297802298003 319592710052 340345483432 399490887565 425431854290 456561014360 467975039719 595604596006 639185420104 798981775130 850863708580 935950079438 1191209192012 1489011490015 1597963550260 1701727417160 1871900158876 2339875198595 2382418384024 2978022980030 3195927100520 3275825278033 3743800317752 4679750397190 5956045960060 6551650556066 9359500794380 11912091920120 13103301112132 16379126390165 18719001588760 26206602224264 32758252780330 65516505560660 131033011121320