13153513303981 has 2 divisors, whose sum is σ = 13153513303982. Its totient is φ = 13153513303980.

The previous prime is 13153513303961. The next prime is 13153513303999. The reversal of 13153513303981 is 18930331535131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11502211203081 + 1651302100900 = 3391491^2 + 1285030^2 .

It is a cyclic number.

It is not a de Polignac number, because 13153513303981 - 2²³ = 13153504915373 is a prime.

It is a super-3 number, since 3×13153513303981³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13153513303961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6576756651990 + 6576756651991.

It is an arithmetic number, because the mean of its divisors is an integer number (6576756651991).

Almost surely, 2^{13153513303981} is an apocalyptic number.

It is an amenable number.

13153513303981 is a deficient number, since it is larger than the sum of its proper divisors (1).

13153513303981 is an equidigital number, since it uses as much as digits as its factorization.

13153513303981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 13153513303981 in words is "thirteen trillion, one hundred fifty-three billion, five hundred thirteen million, three hundred three thousand, nine hundred eighty-one".