113655303556311 has 48 divisors (see below), whose sum is σ = 169099140317184. Its totient is φ = 67842929880000.

The previous prime is 113655303556303. The next prime is 113655303556331.

113655303556311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113655303556311 - 2³ = 113655303556303 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113655303556331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112551 + ... + 15117816.

It is an arithmetic number, because the mean of its divisors is an integer number (3522898756608).

Almost surely, 2^{113655303556311} is an apocalyptic number.

113655303556311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113655303556311 is a deficient number, since it is larger than the sum of its proper divisors (55443836760873).

113655303556311 is a wasteful number, since it uses less digits than its factorization.

113655303556311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230684 (or 16230673 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 48.

The spelling of 113655303556311 in words is "one hundred thirteen trillion, six hundred fifty-five billion, three hundred three million, five hundred fifty-six thousand, three hundred eleven".