13287772564021 has 2 divisors, whose sum is σ = 13287772564022. Its totient is φ = 13287772564020.

The previous prime is 13287772563991. The next prime is 13287772564043. The reversal of 13287772564021 is 12046527778231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11770121039121 + 1517651524900 = 3430761^2 + 1231930^2 .

It is a cyclic number.

It is not a de Polignac number, because 13287772564021 - 2¹⁹ = 13287772039733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13287772564721) 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, 6643886282010 + 6643886282011.

It is an arithmetic number, because the mean of its divisors is an integer number (6643886282011).

Almost surely, 2^{13287772564021} is an apocalyptic number.

It is an amenable number.

13287772564021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13287772564021 is an equidigital number, since it uses as much as digits as its factorization.

13287772564021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7902720, while the sum is 55.

The spelling of 13287772564021 in words is "thirteen trillion, two hundred eighty-seven billion, seven hundred seventy-two million, five hundred sixty-four thousand, twenty-one".