100013431 has 32 divisors (see below), whose sum is σ = 127232640. Its totient is φ = 76640256.

The previous prime is 100013387. The next prime is 100013443. The reversal of 100013431 is 134310001.

It is not a de Polignac number, because 100013431 - 2⁹ = 100012919 is a prime.

It is a super-2 number, since 2×100013431² = 20005372760783522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251725 + ... + 252121.

It is an arithmetic number, because the mean of its divisors is an integer number (3976020).

Almost surely, 2^100013431 is an apocalyptic number.

100013431 is a deficient number, since it is larger than the sum of its proper divisors (27219209).

100013431 is a wasteful number, since it uses less digits than its factorization.

100013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100013431 is about 10000.6715274525. The cubic root of 100013431 is about 464.1796628242.

Adding to 100013431 its reverse (134310001), we get a palindrome (234323432).

The spelling of 100013431 in words is "one hundred million, thirteen thousand, four hundred thirty-one".