113121222121311 has 64 divisors (see below), whose sum is σ = 156841678909440. Its totient is φ = 72462425817600.

The previous prime is 113121222121273. The next prime is 113121222121393.

113121222121311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113121222121311 - 2⁹ = 113121222120799 is a prime.

It is a super-2 number, since 2×113121222121311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113121222121511) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7120356010 + ... + 7120371896.

It is an arithmetic number, because the mean of its divisors is an integer number (2450651232960).

Almost surely, 2^{113121222121311} is an apocalyptic number.

113121222121311 is a deficient number, since it is larger than the sum of its proper divisors (43720456788129).

113121222121311 is a wasteful number, since it uses less digits than its factorization.

113121222121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17624.

The product of its digits is 288, while the sum is 24.

The spelling of 113121222121311 in words is "one hundred thirteen trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-one thousand, three hundred eleven".