31100113 has 8 divisors (see below), whose sum is σ = 33973056. Its totient is φ = 28234800.

The previous prime is 31100101. The next prime is 31100149.

31100113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 31100113 - 2⁵ = 31100081 is a prime.

It is a super-2 number, since 2×31100113² = 1934434057225538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31100113.

It is not an unprimeable number, because it can be changed into a prime (31104113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9748 + ... + 12538.

It is an arithmetic number, because the mean of its divisors is an integer number (4246632).

Almost surely, 2^31100113 is an apocalyptic number.

It is an amenable number.

31100113 is a deficient number, since it is larger than the sum of its proper divisors (2872943).

31100113 is a wasteful number, since it uses less digits than its factorization.

31100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 31100113 is about 5576.7475288021. The cubic root of 31100113 is about 314.4758664226.

It can be divided in two parts, 31100 and 113, that added together give a palindrome (31213).

The spelling of 31100113 in words is "thirty-one million, one hundred thousand, one hundred thirteen".