31100000113 has 32 divisors (see below), whose sum is σ = 39748262400. Its totient is φ = 23667227136.

The previous prime is 31100000083. The next prime is 31100000119.

31100000113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31100000113 - 2¹⁷ = 31099869041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31100000113.

It is not an unprimeable number, because it can be changed into a prime (31100000119) 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, 671653 + ... + 716461.

It is an arithmetic number, because the mean of its divisors is an integer number (1242133200).

Almost surely, 2^31100000113 is an apocalyptic number.

It is an amenable number.

31100000113 is a deficient number, since it is larger than the sum of its proper divisors (8648262287).

31100000113 is a wasteful number, since it uses less digits than its factorization.

31100000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45121.

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

It can be divided in two parts, 31100000 and 113, that added together give a palindrome (31100113).

The spelling of 31100000113 in words is "thirty-one billion, one hundred million, one hundred thirteen", and thus it is an aban number.