22132100224013 has 16 divisors (see below), whose sum is σ = 24871900265856. Its totient is φ = 19540564950720.

The previous prime is 22132100223977. The next prime is 22132100224043. The reversal of 22132100224013 is 31042200123122.

It is a cyclic number.

It is not a de Polignac number, because 22132100224013 - 2³⁶ = 22063380747277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22132100224013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132100224043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5627006 + ... + 8713632.

It is an arithmetic number, because the mean of its divisors is an integer number (1554493766616).

Almost surely, 2^{22132100224013} is an apocalyptic number.

22132100224013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22132100224013 is a deficient number, since it is larger than the sum of its proper divisors (2739800041843).

22132100224013 is a wasteful number, since it uses less digits than its factorization.

22132100224013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110644.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22132100224013 its reverse (31042200123122), we get a palindrome (53174300347135).

The spelling of 22132100224013 in words is "twenty-two trillion, one hundred thirty-two billion, one hundred million, two hundred twenty-four thousand, thirteen".