31104544540113 has 48 divisors (see below), whose sum is σ = 50396509051200. Its totient is φ = 18320391872640.

The previous prime is 31104544540103. The next prime is 31104544540133.

31104544540113 is a `hidden beast` number, since 3 + 1 + 10 + 454 + 45 + 40 + 113 = 666.

31104544540113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31104544540113 - 2¹² = 31104544536017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31104544540103) 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 47 ways as a sum of consecutive naturals, for example, 1796178 + ... + 8089211.

It is an arithmetic number, because the mean of its divisors is an integer number (1049927271900).

Almost surely, 2^{31104544540113} is an apocalyptic number.

31104544540113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31104544540113 is a deficient number, since it is larger than the sum of its proper divisors (19291964511087).

31104544540113 is a wasteful number, since it uses less digits than its factorization.

31104544540113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9886302 (or 9886299 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 3110454 and 4540113, that added together give a palindrome (7650567).

The spelling of 31104544540113 in words is "thirty-one trillion, one hundred four billion, five hundred forty-four million, five hundred forty thousand, one hundred thirteen".