13331332442413 has 2 divisors, whose sum is σ = 13331332442414. Its totient is φ = 13331332442412.

The previous prime is 13331332442411. The next prime is 13331332442429. The reversal of 13331332442413 is 31424423313331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13175179436169 + 156153006244 = 3629763^2 + 395162^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331332442413 - 2¹ = 13331332442411 is a prime.

It is a super-2 number, since 2×13331332442413² (a number of 27 digits) contains 22 as substring.

Together with 13331332442411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331332442411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665666221206 + 6665666221207.

It is an arithmetic number, because the mean of its divisors is an integer number (6665666221207).

Almost surely, 2^{13331332442413} is an apocalyptic number.

It is an amenable number.

13331332442413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331332442413 is an equidigital number, since it uses as much as digits as its factorization.

13331332442413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 37.

Adding to 13331332442413 its reverse (31424423313331), we get a palindrome (44755755755744).

The spelling of 13331332442413 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-two million, four hundred forty-two thousand, four hundred thirteen".