113235343532311 has 64 divisors (see below), whose sum is σ = 154321598592000. Its totient is φ = 80901355582080.

The previous prime is 113235343532299. The next prime is 113235343532413.

113235343532311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113235343532311 - 2²¹ = 113235341435159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113235343532111) 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, 14909800 + ... + 21184258.

It is an arithmetic number, because the mean of its divisors is an integer number (2411274978000).

Almost surely, 2^{113235343532311} is an apocalyptic number.

113235343532311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113235343532311 is a deficient number, since it is larger than the sum of its proper divisors (41086255059689).

113235343532311 is a wasteful number, since it uses less digits than its factorization.

113235343532311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274661 (or 6274639 counting only the distinct ones).

The product of its digits is 291600, while the sum is 40.

The spelling of 113235343532311 in words is "one hundred thirteen trillion, two hundred thirty-five billion, three hundred forty-three million, five hundred thirty-two thousand, three hundred eleven".