131100012101331 has 64 divisors (see below), whose sum is σ = 240924984115200. Its totient is φ = 68607153353088.

The previous prime is 131100012101329. The next prime is 131100012101353. The reversal of 131100012101331 is 133101210001131.

131100012101331 is a `hidden beast` number, since 1 + 311 + 0 + 0 + 0 + 1 + 21 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 131100012101331 - 2¹ = 131100012101329 is a prime.

It is a super-2 number, since 2×131100012101331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131100012111331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209757876 + ... + 210381953.

It is an arithmetic number, because the mean of its divisors is an integer number (3764452876800).

Almost surely, 2^{131100012101331} is an apocalyptic number.

131100012101331 is a deficient number, since it is larger than the sum of its proper divisors (109824972013869).

131100012101331 is a wasteful number, since it uses less digits than its factorization.

131100012101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420139985 (or 420139979 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131100012101331 its reverse (133101210001131), we get a palindrome (264201222102462).

The spelling of 131100012101331 in words is "one hundred thirty-one trillion, one hundred billion, twelve million, one hundred one thousand, three hundred thirty-one".