113210121012311 has 16 divisors (see below), whose sum is σ = 114678934080480. Its totient is φ = 111745701619200.

The previous prime is 113210121012257. The next prime is 113210121012367.

113210121012311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113210121012311 - 2³⁴ = 113192941143127 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 (113210121011311) 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 15 ways as a sum of consecutive naturals, for example, 1207360316 + ... + 1207454078.

It is an arithmetic number, because the mean of its divisors is an integer number (7167433380030).

Almost surely, 2^{113210121012311} is an apocalyptic number.

113210121012311 is a deficient number, since it is larger than the sum of its proper divisors (1468813068169).

113210121012311 is an equidigital number, since it uses as much as digits as its factorization.

113210121012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117026.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 113210121012311 in words is "one hundred thirteen trillion, two hundred ten billion, one hundred twenty-one million, twelve thousand, three hundred eleven".