22301113303313 has 16 divisors (see below), whose sum is σ = 24377490433296. Its totient is φ = 20278363526400.

The previous prime is 22301113303307. The next prime is 22301113303333. The reversal of 22301113303313 is 31330331110322.

It can be written as a sum of positive squares in 8 ways, for example, as 722180435344 + 21578932867969 = 849812^2 + 4645313^2 .

It is a cyclic number.

It is not a de Polignac number, because 22301113303313 - 2¹⁴ = 22301113286929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22301113303333) 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, 42850106 + ... + 43367427.

It is an arithmetic number, because the mean of its divisors is an integer number (1523593152081).

Almost surely, 2^{22301113303313} is an apocalyptic number.

It is an amenable number.

22301113303313 is a deficient number, since it is larger than the sum of its proper divisors (2076377129983).

22301113303313 is a wasteful number, since it uses less digits than its factorization.

22301113303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86217844.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 22301113303313 its reverse (31330331110322), we get a palindrome (53631444413635).

The spelling of 22301113303313 in words is "twenty-two trillion, three hundred one billion, one hundred thirteen million, three hundred three thousand, three hundred thirteen".