113222020222311 has 512 divisors, whose sum is σ = 213541429248000. Its totient is φ = 51914877696000.

The previous prime is 113222020222291. The next prime is 113222020222343.

113222020222311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113222020222311 - 2⁶ = 113222020222247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113222020222111) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 270219618460 + ... + 270219618878.

It is an arithmetic number, because the mean of its divisors is an integer number (417073104000).

Almost surely, 2^{113222020222311} is an apocalyptic number.

113222020222311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113222020222311 is a deficient number, since it is larger than the sum of its proper divisors (100319409025689).

113222020222311 is a wasteful number, since it uses less digits than its factorization.

113222020222311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 113222020222311 in words is "one hundred thirteen trillion, two hundred twenty-two billion, twenty million, two hundred twenty-two thousand, three hundred eleven".