100032100311031 has 8 divisors (see below), whose sum is σ = 116655510567200. Its totient is φ = 85741800266304.

The previous prime is 100032100311007. The next prime is 100032100311053. The reversal of 100032100311031 is 130113001230001.

It is not a de Polignac number, because 100032100311031 - 2²⁵ = 100032066756599 is a prime.

It is a super-2 number, since 2×100032100311031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100032100310996 and 100032100311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100032100311631) 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, 145819387866 + ... + 145819388551.

It is an arithmetic number, because the mean of its divisors is an integer number (14581938820900).

Almost surely, 2^{100032100311031} is an apocalyptic number.

100032100311031 is a deficient number, since it is larger than the sum of its proper divisors (16623410256169).

100032100311031 is an frugal number, since it uses more digits than its factorization.

100032100311031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291638776438 (or 291638776424 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100032100311031 its reverse (130113001230001), we get a palindrome (230145101541032).

The spelling of 100032100311031 in words is "one hundred trillion, thirty-two billion, one hundred million, three hundred eleven thousand, thirty-one".