122311022132013 has 48 divisors (see below), whose sum is σ = 193140421481280. Its totient is φ = 68391408349440.

The previous prime is 122311022131981. The next prime is 122311022132021. The reversal of 122311022132013 is 310231220113221.

It is not a de Polignac number, because 122311022132013 - 2⁵ = 122311022131981 is a prime.

It is a super-2 number, since 2×122311022132013² (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 (122311022132093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2902498 + ... + 15907436.

It is an arithmetic number, because the mean of its divisors is an integer number (4023758780860).

Almost surely, 2^{122311022132013} is an apocalyptic number.

122311022132013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122311022132013 is a deficient number, since it is larger than the sum of its proper divisors (70829399349267).

122311022132013 is a wasteful number, since it uses less digits than its factorization.

122311022132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006970 (or 13006959 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 122311022132013 its reverse (310231220113221), we get a palindrome (432542242245234).

The spelling of 122311022132013 in words is "one hundred twenty-two trillion, three hundred eleven billion, twenty-two million, one hundred thirty-two thousand, thirteen".