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13121311133220 = 22354315133680659
BaseRepresentation
bin1011111011110000101100…
…0101101100111000100100
31201110101101201210121102120
42332330023011230320210
53204434421122230340
643523502551105540
72522661215253543
oct276741305547044
951411351717376
1013121311133220
1141a9798076694
12157abb86722b0
137424466a8054
1433510954a15a
1517b4ae7cb4d0
hexbef0b16ce24

13121311133220 has 96 divisors (see below), whose sum is σ = 37843050685440. Its totient is φ = 3395010326400.

The previous prime is 13121311133191. The next prime is 13121311133221. The reversal of 13121311133220 is 2233111312131.

It is not an unprimeable number, because it can be changed into a prime (13121311133221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16450750 + ... + 17229909.

It is an arithmetic number, because the mean of its divisors is an integer number (394198444640).

Almost surely, 213121311133220 is an apocalyptic number.

13121311133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121311133220 is an abundant number, since it is smaller than the sum of its proper divisors (24721739552220).

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

13121311133220 is a wasteful number, since it uses less digits than its factorization.

13121311133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33680865 (or 33680863 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13121311133220 its reverse (2233111312131), we get a palindrome (15354422445351).

The spelling of 13121311133220 in words is "thirteen trillion, one hundred twenty-one billion, three hundred eleven million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 151 172 215 258 302 430 453 516 604 645 755 860 906 1290 1510 1812 2265 2580 3020 4530 6493 9060 12986 19479 25972 32465 38958 64930 77916 97395 129860 194790 389580 33680659 67361318 101041977 134722636 168403295 202083954 336806590 404167908 505209885 673613180 1010419770 1448268337 2020839540 2896536674 4344805011 5085779509 5793073348 7241341685 8689610022 10171559018 14482683370 15257338527 17379220044 20343118036 21724025055 25428897545 28965366740 30514677054 43448050110 50857795090 61029354108 76286692635 86896100220 101715590180 152573385270 218688518887 305146770540 437377037774 656065556661 874754075548 1093442594435 1312131113322 2186885188870 2624262226644 3280327783305 4373770377740 6560655566610 13121311133220