30131133113103 has 64 divisors (see below), whose sum is σ = 45715165102080. Its totient is φ = 17485534281600.

The previous prime is 30131133112973. The next prime is 30131133113171.

30131133113103 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 30131133113103 - 2²⁶ = 30131066004239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30131133113173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72015238 + ... + 72432428.

It is an arithmetic number, because the mean of its divisors is an integer number (714299454720).

Almost surely, 2^{30131133113103} is an apocalyptic number.

30131133113103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

30131133113103 is a deficient number, since it is larger than the sum of its proper divisors (15584031988977).

30131133113103 is a wasteful number, since it uses less digits than its factorization.

30131133113103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417860.

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

It can be divided in two parts, 3013113 and 3113103, that added together give a palindrome (6126216).

The spelling of 30131133113103 in words is "thirty trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred three".