113761585167311 has 8 divisors (see below), whose sum is σ = 115202005313280. Its totient is φ = 112321175023512.

The previous prime is 113761585167283. The next prime is 113761585167341.

113761585167311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113761585167311 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 (113761585167341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21887156 + ... + 26581398.

It is an arithmetic number, because the mean of its divisors is an integer number (14400250664160).

Almost surely, 2^{113761585167311} is an apocalyptic number.

113761585167311 is a deficient number, since it is larger than the sum of its proper divisors (1440420145969).

113761585167311 is an equidigital number, since it uses as much as digits as its factorization.

113761585167311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5001085.

The product of its digits is 3175200, while the sum is 56.

The spelling of 113761585167311 in words is "one hundred thirteen trillion, seven hundred sixty-one billion, five hundred eighty-five million, one hundred sixty-seven thousand, three hundred eleven".