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13121131010331 = 319853679339727
BaseRepresentation
bin1011111011110000000001…
…0110100101100100011011
31201110100221011212102021110
42332330000112211210123
53204434034014312311
643523433034311403
72522653600244121
oct276740026454433
951410834772243
1013121131010331
1141a970542a6a3
12157ab68288563
13742418290266
143350cd65d911
1517b49da9b8a6
hexbef005a591b

13121131010331 has 32 divisors (see below), whose sum is σ = 18440390026240. Its totient is φ = 8275888122624.

The previous prime is 13121131010279. The next prime is 13121131010347. The reversal of 13121131010331 is 13301013112131.

13121131010331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121131010331 - 211 = 13121131008283 is a prime.

It is a super-2 number, since 2×131211310103312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13121131010298 and 13121131010307.

It is not an unprimeable number, because it can be changed into a prime (13121131010381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330262590 + ... + 330302316.

It is an arithmetic number, because the mean of its divisors is an integer number (576262188320).

Almost surely, 213121131010331 is an apocalyptic number.

13121131010331 is a deficient number, since it is larger than the sum of its proper divisors (5319259015909).

13121131010331 is a wasteful number, since it uses less digits than its factorization.

13121131010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47395.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13121131010331 its reverse (13301013112131), we get a palindrome (26422144122462).

The spelling of 13121131010331 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-one million, ten thousand, three hundred thirty-one".

Divisors: 1 3 19 57 853 2559 6793 16207 20379 39727 48621 119181 129067 387201 754813 2264439 5794429 17383287 33887131 101661393 110094151 269865511 330282453 643855489 809596533 1931566467 5127444709 15382334127 230195280883 690585842649 4373710336777 13121131010331