100031513 has 16 divisors (see below), whose sum is σ = 106563072. Its totient is φ = 93744000.

The previous prime is 100031507. The next prime is 100031537. The reversal of 100031513 is 315130001.

It is not a de Polignac number, because 100031513 - 2¹⁴ = 100015129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100031543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267995 + ... + 268367.

It is an arithmetic number, because the mean of its divisors is an integer number (6660192).

Almost surely, 2^100031513 is an apocalyptic number.

It is an amenable number.

100031513 is a deficient number, since it is larger than the sum of its proper divisors (6531559).

100031513 is a wasteful number, since it uses less digits than its factorization.

100031513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 100031513 is about 10001.5755258859. The cubic root of 100031513 is about 464.2076350369.

Adding to 100031513 its reverse (315130001), we get a palindrome (415161514).

The spelling of 100031513 in words is "one hundred million, thirty-one thousand, five hundred thirteen".