131000102413002 has 32 divisors (see below), whose sum is σ = 292329377798400. Its totient is φ = 43483994938944.

The previous prime is 131000102412913. The next prime is 131000102413007. The reversal of 131000102413002 is 200314201000131.

131000102413002 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 10 + 2 + 41 + 300 + 2 = 666.

It is a super-2 number, since 2×131000102413002² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131000102413007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5075149903 + ... + 5075175714.

It is an arithmetic number, because the mean of its divisors is an integer number (9135293056200).

Almost surely, 2^{131000102413002} is an apocalyptic number.

131000102413002 is an abundant number, since it is smaller than the sum of its proper divisors (161329275385398).

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

131000102413002 is a wasteful number, since it uses less digits than its factorization.

131000102413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10150325867 (or 10150325861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131000102413002 its reverse (200314201000131), we get a palindrome (331314303413133).

The spelling of 131000102413002 in words is "one hundred thirty-one trillion, one hundred two million, four hundred thirteen thousand, two".