113013101310311 has 8 divisors (see below), whose sum is σ = 118115363619120. Its totient is φ = 107991189589248.

The previous prime is 113013101310299. The next prime is 113013101310397.

It is a happy number.

113013101310311 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 not a de Polignac number, because 113013101310311 - 2¹⁰ = 113013101309287 is a prime.

It is a super-2 number, since 2×113013101310311² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113013301310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20087644061 + ... + 20087649686.

It is an arithmetic number, because the mean of its divisors is an integer number (14764420452390).

Almost surely, 2^{113013101310311} is an apocalyptic number.

113013101310311 is a deficient number, since it is larger than the sum of its proper divisors (5102262308809).

113013101310311 is an equidigital number, since it uses as much as digits as its factorization.

113013101310311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40175293873.

The product of its (nonzero) digits is 81, while the sum is 20.

It can be divided in two parts, 11301310 and 1310311, that added together give a palindrome (12611621).

The spelling of 113013101310311 in words is "one hundred thirteen trillion, thirteen billion, one hundred one million, three hundred ten thousand, three hundred eleven".