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131301221002011 = 323743149112171531
BaseRepresentation
bin11101110110101011110010…
…101000101110101100011011
3122012220021101211220001212200
4131312223302220232230123
5114202214400034031021
61143130540451541243
736441125441552604
oct3566536250565433
9565807354801780
10131301221002011
1138922598270295
12128870812ba823
135835862618308
14245d027982dab
15102a6a57a7126
hex776af2a2eb1b

131301221002011 has 96 divisors (see below), whose sum is σ = 195921389454336. Its totient is φ = 84672677376000.

The previous prime is 131301221002009. The next prime is 131301221002033. The reversal of 131301221002011 is 110200122103131.

131301221002011 is a `hidden beast` number, since 131 + 301 + 2 + 210 + 0 + 20 + 1 + 1 = 666.

It is not a de Polignac number, because 131301221002011 - 21 = 131301221002009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131301221002411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85761737316 + ... + 85761738846.

It is an arithmetic number, because the mean of its divisors is an integer number (2040847806816).

Almost surely, 2131301221002011 is an apocalyptic number.

131301221002011 is a deficient number, since it is larger than the sum of its proper divisors (64620168452325).

131301221002011 is a wasteful number, since it uses less digits than its factorization.

131301221002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3713 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 131301221002011 its reverse (110200122103131), we get a palindrome (241501343105142).

The spelling of 131301221002011 in words is "one hundred thirty-one trillion, three hundred one billion, two hundred twenty-one million, two thousand, eleven".

Divisors: 1 3 9 37 111 333 431 491 1217 1293 1473 1531 3651 3879 4419 4593 10953 13779 15947 18167 45029 47841 54501 56647 135087 143523 163503 169941 211621 405261 509823 524527 597547 634863 659861 751721 1573581 1792641 1863227 1904589 1979583 2255163 4720743 5377923 5589681 5938749 6765489 7829977 16769043 19407499 22109239 23489931 24414857 27813677 58222497 66327717 68939399 70469793 73244571 83441031 174667491 198983151 206818197 219733713 250323093 257542757 323991751 620454591 772628271 803050837 914844457 971975253 2317884813 2409152511 2744533371 2915925759 7227457533 8233600113 9529082009 11987694787 28587246027 29712880969 33849244909 35963084361 85761738081 89138642907 101547734727 107889253083 267415928721 304643204181 394297960967 1182893882901 3548681648703 14589024555779 43767073667337 131301221002011