122133122121013 has 4 divisors (see below), whose sum is σ = 122241878241568. Its totient is φ = 122024366000460.

The previous prime is 122133122121007. The next prime is 122133122121083. The reversal of 122133122121013 is 310121221331221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 122133122121013 - 2²⁹ = 122132585250101 is a prime.

It is a super-4 number, since 4×122133122121013⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122133122121083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54378058593 + ... + 54378060838.

It is an arithmetic number, because the mean of its divisors is an integer number (30560469560392).

Almost surely, 2^{122133122121013} is an apocalyptic number.

It is an amenable number.

122133122121013 is a deficient number, since it is larger than the sum of its proper divisors (108756120555).

122133122121013 is a wasteful number, since it uses less digits than its factorization.

122133122121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108756120554.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 122133122121013 its reverse (310121221331221), we get a palindrome (432254343452234).

The spelling of 122133122121013 in words is "one hundred twenty-two trillion, one hundred thirty-three billion, one hundred twenty-two million, one hundred twenty-one thousand, thirteen".