22013001332057 has 2 divisors, whose sum is σ = 22013001332058. Its totient is φ = 22013001332056.

The previous prime is 22013001332009. The next prime is 22013001332159. The reversal of 22013001332057 is 75023310031022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16663083217936 + 5349918114121 = 4082044^2 + 2312989^2 .

It is a cyclic number.

It is not a de Polignac number, because 22013001332057 - 2¹⁰ = 22013001331033 is a prime.

It is not a weakly prime, because it can be changed into another prime (22013001332957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006500666028 + 11006500666029.

It is an arithmetic number, because the mean of its divisors is an integer number (11006500666029).

Almost surely, 2^{22013001332057} is an apocalyptic number.

It is an amenable number.

22013001332057 is a deficient number, since it is larger than the sum of its proper divisors (1).

22013001332057 is an equidigital number, since it uses as much as digits as its factorization.

22013001332057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

Adding to 22013001332057 its reverse (75023310031022), we get a palindrome (97036311363079).

The spelling of 22013001332057 in words is "twenty-two trillion, thirteen billion, one million, three hundred thirty-two thousand, fifty-seven".