31123144132113 has 32 divisors (see below), whose sum is σ = 46545297813504. Its totient is φ = 18334544400000.

The previous prime is 31123144132099. The next prime is 31123144132147.

It is a happy number.

31123144132113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31123144132113 - 2⁵ = 31123144132081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31123144133113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42074413 + ... + 42807738.

It is an arithmetic number, because the mean of its divisors is an integer number (1454540556672).

Almost surely, 2^{31123144132113} is an apocalyptic number.

31123144132113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31123144132113 is a deficient number, since it is larger than the sum of its proper divisors (15422153681391).

31123144132113 is a wasteful number, since it uses less digits than its factorization.

31123144132113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84882477.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 3112314 and 4132113, that added together give a palindrome (7244427).

The spelling of 31123144132113 in words is "thirty-one trillion, one hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, one hundred thirteen".