22213002134313 has 12 divisors (see below), whose sum is σ = 32300786103300. Its totient is φ = 14709281054496.

The previous prime is 22213002134207. The next prime is 22213002134321. The reversal of 22213002134313 is 31343120031222.

22213002134313 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 300 + 2 + 1 + 343 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12232981914624 + 9980020219689 = 3497568^2 + 3159117^2 .

It is not a de Polignac number, because 22213002134313 - 2³⁷ = 22075563180841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22213002144313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8282251506 + ... + 8282254187.

It is an arithmetic number, because the mean of its divisors is an integer number (2691732175275).

Almost surely, 2^{22213002134313} is an apocalyptic number.

It is an amenable number.

22213002134313 is a deficient number, since it is larger than the sum of its proper divisors (10087783968987).

22213002134313 is a wasteful number, since it uses less digits than its factorization.

22213002134313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16564505848 (or 16564505845 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22213002134313 its reverse (31343120031222), we get a palindrome (53556122165535).

The spelling of 22213002134313 in words is "twenty-two trillion, two hundred thirteen billion, two million, one hundred thirty-four thousand, three hundred thirteen".