31103311330113 has 192 divisors, whose sum is σ = 48417481728000. Its totient is φ = 17726143818240.

The previous prime is 31103311330103. The next prime is 31103311330177.

31103311330113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31103311330113 - 2¹⁴ = 31103311313729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31103311330103) 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 191 ways as a sum of consecutive naturals, for example, 16839907756 + ... + 16839909602.

It is an arithmetic number, because the mean of its divisors is an integer number (252174384000).

Almost surely, 2^{31103311330113} is an apocalyptic number.

31103311330113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31103311330113 is a deficient number, since it is larger than the sum of its proper divisors (17314170397887).

31103311330113 is a wasteful number, since it uses less digits than its factorization.

31103311330113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 24.

It can be divided in two parts, 3110331 and 1330113, that added together give a palindrome (4440444).

The spelling of 31103311330113 in words is "thirty-one trillion, one hundred three billion, three hundred eleven million, three hundred thirty thousand, one hundred thirteen".