3112100013 has 32 divisors (see below), whose sum is σ = 4749410304. Its totient is φ = 1795320000.

The previous prime is 3112099999. The next prime is 3112100027. The reversal of 3112100013 is 3100012113.

It is an interprime number because it is at equal distance from previous prime (3112099999) and next prime (3112100027).

It is not a de Polignac number, because 3112100013 - 2⁵ = 3112099981 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112100713) 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 31 ways as a sum of consecutive naturals, for example, 37468 + ... + 87338.

It is an arithmetic number, because the mean of its divisors is an integer number (148419072).

Almost surely, 2^3112100013 is an apocalyptic number.

3112100013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3112100013 is a deficient number, since it is larger than the sum of its proper divisors (1637310291).

3112100013 is a wasteful number, since it uses less digits than its factorization.

3112100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49977.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3112100013 is about 55786.1991266657. The cubic root of 3112100013 is about 1459.9943724372.

Adding to 3112100013 its reverse (3100012113), we get a palindrome (6212112126).

The spelling of 3112100013 in words is "three billion, one hundred twelve million, one hundred thousand, thirteen".