113436634311 has 48 divisors (see below), whose sum is σ = 219998338560. Its totient is φ = 54395184960.

The previous prime is 113436634307. The next prime is 113436634351.

113436634311 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 3 + 6 + 634 + 3 + 11 = 666.

113436634311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113436634311 - 2² = 113436634307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113436634301) 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, 6286731 + ... + 6304748.

It is an arithmetic number, because the mean of its divisors is an integer number (4583298720).

Almost surely, 2^113436634311 is an apocalyptic number.

113436634311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113436634311 is a deficient number, since it is larger than the sum of its proper divisors (106561704249).

113436634311 is a wasteful number, since it uses less digits than its factorization.

113436634311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591516 (or 12591513 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 113436 and 634311, that added together give a palindrome (747747).

The spelling of 113436634311 in words is "one hundred thirteen billion, four hundred thirty-six million, six hundred thirty-four thousand, three hundred eleven".