131002131024216 has 48 divisors (see below), whose sum is σ = 367031832616800. Its totient is φ = 42161605386432.

The previous prime is 131002131024157. The next prime is 131002131024217. The reversal of 131002131024216 is 612420131200131.

131002131024216 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 213 + 10 + 2 + 421 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131002131024216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002131024217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31370240016 + ... + 31370244191.

It is an arithmetic number, because the mean of its divisors is an integer number (7646496512850).

Almost surely, 2^{131002131024216} is an apocalyptic number.

It is an amenable number.

131002131024216 is an abundant number, since it is smaller than the sum of its proper divisors (236029701592584).

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

131002131024216 is a wasteful number, since it uses less digits than its factorization.

131002131024216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62740484248 (or 62740484241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131002131024216 its reverse (612420131200131), we get a palindrome (743422262224347).

The spelling of 131002131024216 in words is "one hundred thirty-one trillion, two billion, one hundred thirty-one million, twenty-four thousand, two hundred sixteen".