22123122312013 has 16 divisors (see below), whose sum is σ = 24956753742720. Its totient is φ = 19505673291456.

The previous prime is 22123122312007. The next prime is 22123122312073. The reversal of 22123122312013 is 31021322132122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22123122312013 is a prime.

It is a super-2 number, since 2×22123122312013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123122312073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684105370 + ... + 684137707.

It is an arithmetic number, because the mean of its divisors is an integer number (1559797108920).

Almost surely, 2^{22123122312013} is an apocalyptic number.

22123122312013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22123122312013 is a deficient number, since it is larger than the sum of its proper divisors (2833631430707).

22123122312013 is a wasteful number, since it uses less digits than its factorization.

22123122312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368243156.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 22123122312013 its reverse (31021322132122), we get a palindrome (53144444444135).

The spelling of 22123122312013 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-two million, three hundred twelve thousand, thirteen".