100013331 has 32 divisors (see below), whose sum is σ = 151070976. Its totient is φ = 58320000.

The previous prime is 100013327. The next prime is 100013341. The reversal of 100013331 is 133310001.

It is not a de Polignac number, because 100013331 - 2² = 100013327 is a prime.

It is a super-2 number, since 2×100013331² = 20005332755431122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100013311) 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, 122916 + ... + 123726.

It is an arithmetic number, because the mean of its divisors is an integer number (4720968).

Almost surely, 2^100013331 is an apocalyptic number.

100013331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100013331 is a deficient number, since it is larger than the sum of its proper divisors (51057645).

100013331 is a wasteful number, since it uses less digits than its factorization.

100013331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 100013331 is about 10000.6665277870. Note that the first 3 decimals coincide. The cubic root of 100013331 is about 464.1795081184.

Adding to 100013331 its reverse (133310001), we get a palindrome (233323332).

The spelling of 100013331 in words is "one hundred million, thirteen thousand, three hundred thirty-one".