131002000131213 has 24 divisors (see below), whose sum is σ = 189441345165696. Its totient is φ = 87234875145600.

The previous prime is 131002000131193. The next prime is 131002000131271. The reversal of 131002000131213 is 312131000200131.

131002000131213 is a `hidden beast` number, since 1 + 310 + 0 + 200 + 0 + 131 + 21 + 3 = 666.

It is not a de Polignac number, because 131002000131213 - 2¹³ = 131002000123021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002000131293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187909306 + ... + 188605172.

It is an arithmetic number, because the mean of its divisors is an integer number (7893389381904).

Almost surely, 2^{131002000131213} is an apocalyptic number.

It is an amenable number.

131002000131213 is a deficient number, since it is larger than the sum of its proper divisors (58439345034483).

131002000131213 is a wasteful number, since it uses less digits than its factorization.

131002000131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719745 (or 719742 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131002000131213 its reverse (312131000200131), we get a palindrome (443133000331344).

The spelling of 131002000131213 in words is "one hundred thirty-one trillion, two billion, one hundred thirty-one thousand, two hundred thirteen".