112313121313211 has 32 divisors (see below), whose sum is σ = 139748526723456. Its totient is φ = 87889789440000.

The previous prime is 112313121313189. The next prime is 112313121313241.

112313121313211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112313121313211 is a prime.

It is a super-2 number, since 2×112313121313211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112313121313241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155691 + ... + 15141771.

It is an arithmetic number, because the mean of its divisors is an integer number (4367141460108).

Almost surely, 2^{112313121313211} is an apocalyptic number.

112313121313211 is a deficient number, since it is larger than the sum of its proper divisors (27435405410245).

112313121313211 is a wasteful number, since it uses less digits than its factorization.

112313121313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12987143.

The product of its digits is 648, while the sum is 26.

The spelling of 112313121313211 in words is "one hundred twelve trillion, three hundred thirteen billion, one hundred twenty-one million, three hundred thirteen thousand, two hundred eleven".