100233311013 has 96 divisors (see below), whose sum is σ = 162437603328. Its totient is φ = 59048092800.

The previous prime is 100233310997. The next prime is 100233311021. The reversal of 100233311013 is 310113332001.

It is a happy number.

It is not a de Polignac number, because 100233311013 - 2⁴ = 100233310997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100233311093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354181170 + ... + 354181452.

It is an arithmetic number, because the mean of its divisors is an integer number (1692058368).

Almost surely, 2^100233311013 is an apocalyptic number.

It is an amenable number.

100233311013 is a deficient number, since it is larger than the sum of its proper divisors (62204292315).

100233311013 is a wasteful number, since it uses less digits than its factorization.

100233311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100233311013 its reverse (310113332001), we get a palindrome (410346643014).

The spelling of 100233311013 in words is "one hundred billion, two hundred thirty-three million, three hundred eleven thousand, thirteen".