100031321333113 has 16 divisors (see below), whose sum is σ = 100200138425856. Its totient is φ = 99862699996800.

The previous prime is 100031321333089. The next prime is 100031321333171. The reversal of 100031321333113 is 311333123130001.

It is a cyclic number.

It is not a de Polignac number, because 100031321333113 - 2³³ = 100022731398521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031321336113) 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, 6378320370 + ... + 6378336052.

It is an arithmetic number, because the mean of its divisors is an integer number (6262508651616).

Almost surely, 2^{100031321333113} is an apocalyptic number.

It is an amenable number.

100031321333113 is a deficient number, since it is larger than the sum of its proper divisors (168817092743).

100031321333113 is a wasteful number, since it uses less digits than its factorization.

100031321333113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21264.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 100031321333113 its reverse (311333123130001), we get a palindrome (411364444463114).

The spelling of 100031321333113 in words is "one hundred trillion, thirty-one billion, three hundred twenty-one million, three hundred thirty-three thousand, one hundred thirteen".