100331013000131 has 8 divisors (see below), whose sum is σ = 100888088303184. Its totient is φ = 99773968030560.

The previous prime is 100331013000109. The next prime is 100331013000139. The reversal of 100331013000131 is 131000310133001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100331013000131 - 2⁶ = 100331013000067 is a prime.

It is a super-2 number, since 2×100331013000131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100331013000139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933665 + ... + 14196258.

It is an arithmetic number, because the mean of its divisors is an integer number (12611011037898).

Almost surely, 2^{100331013000131} is an apocalyptic number.

100331013000131 is a deficient number, since it is larger than the sum of its proper divisors (557075303053).

100331013000131 is a wasteful number, since it uses less digits than its factorization.

100331013000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15166741.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100331013000131 its reverse (131000310133001), we get a palindrome (231331323133132).

The spelling of 100331013000131 in words is "one hundred trillion, three hundred thirty-one billion, thirteen million, one hundred thirty-one", and thus it is an aban number.