113436404634311 has 12 divisors (see below), whose sum is σ = 124698890623272. Its totient is φ = 103113587610000.

The previous prime is 113436404634221. The next prime is 113436404634313.

It is a happy number.

113436404634311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113436404634311 - 2³⁸ = 113161526727367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113436404634313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46145225 + ... + 48541266.

It is an arithmetic number, because the mean of its divisors is an integer number (10391574218606).

Almost surely, 2^{113436404634311} is an apocalyptic number.

113436404634311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113436404634311 is a deficient number, since it is larger than the sum of its proper divisors (11262485988961).

113436404634311 is an equidigital number, since it uses as much as digits as its factorization.

113436404634311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94696414 (or 94696403 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

It can be divided in two parts, 11343640 and 4634311, that added together give a palindrome (15977951).

The spelling of 113436404634311 in words is "one hundred thirteen trillion, four hundred thirty-six billion, four hundred four million, six hundred thirty-four thousand, three hundred eleven".