100321010031 has 32 divisors (see below), whose sum is σ = 147355469568. Its totient is φ = 60203658240.

The previous prime is 100321009979. The next prime is 100321010039. The reversal of 100321010031 is 130010123001.

It is not a de Polignac number, because 100321010031 - 2⁶ = 100321009967 is a prime.

It is a super-2 number, since 2×100321010031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100321009989 and 100321010016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100321010039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9150405 + ... + 9161361.

It is an arithmetic number, because the mean of its divisors is an integer number (4604858424).

Almost surely, 2^100321010031 is an apocalyptic number.

100321010031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100321010031 is a deficient number, since it is larger than the sum of its proper divisors (47034459537).

100321010031 is a wasteful number, since it uses less digits than its factorization.

100321010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100321010031 its reverse (130010123001), we get a palindrome (230331133032).

The spelling of 100321010031 in words is "one hundred billion, three hundred twenty-one million, ten thousand, thirty-one".