100313101233 has 96 divisors (see below), whose sum is σ = 156939120000. Its totient is φ = 61557636096.

The previous prime is 100313101181. The next prime is 100313101243. The reversal of 100313101233 is 332101313001.

It is a happy number.

It is not a de Polignac number, because 100313101233 - 2⁸ = 100313100977 is a prime.

It is a super-2 number, since 2×100313101233² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100313101243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372911023 + ... + 372911291.

It is an arithmetic number, because the mean of its divisors is an integer number (1634782500).

Almost surely, 2^100313101233 is an apocalyptic number.

It is an amenable number.

100313101233 is a deficient number, since it is larger than the sum of its proper divisors (56626018767).

100313101233 is a wasteful number, since it uses less digits than its factorization.

100313101233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 716 counting only the distinct ones).

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

Adding to 100313101233 its reverse (332101313001), we get a palindrome (432414414234).

The spelling of 100313101233 in words is "one hundred billion, three hundred thirteen million, one hundred one thousand, two hundred thirty-three".