13185638857121 has 2 divisors, whose sum is σ = 13185638857122. Its totient is φ = 13185638857120.

The previous prime is 13185638857051. The next prime is 13185638857129. The reversal of 13185638857121 is 12175883658131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7150067429521 + 6035571427600 = 2673961^2 + 2456740^2 .

It is a cyclic number.

It is not a de Polignac number, because 13185638857121 - 2⁴² = 8787592346017 is a prime.

It is a super-2 number, since 2×13185638857121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13185638857129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6592819428560 + 6592819428561.

It is an arithmetic number, because the mean of its divisors is an integer number (6592819428561).

Almost surely, 2^{13185638857121} is an apocalyptic number.

It is an amenable number.

13185638857121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13185638857121 is an equidigital number, since it uses as much as digits as its factorization.

13185638857121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9676800, while the sum is 59.

The spelling of 13185638857121 in words is "thirteen trillion, one hundred eighty-five billion, six hundred thirty-eight million, eight hundred fifty-seven thousand, one hundred twenty-one".