13153341573137 has 2 divisors, whose sum is σ = 13153341573138. Its totient is φ = 13153341573136.

The previous prime is 13153341573133. The next prime is 13153341573179. The reversal of 13153341573137 is 73137514335131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8854814295616 + 4298527277521 = 2975704^2 + 2073289^2 .

It is an emirp because it is prime and its reverse (73137514335131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13153341573137 - 2² = 13153341573133 is a prime.

It is a super-2 number, since 2×13153341573137² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13153341573091 and 13153341573100.

It is not a weakly prime, because it can be changed into another prime (13153341573133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6576670786568 + 6576670786569.

It is an arithmetic number, because the mean of its divisors is an integer number (6576670786569).

Almost surely, 2^{13153341573137} is an apocalyptic number.

It is an amenable number.

13153341573137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13153341573137 is an equidigital number, since it uses as much as digits as its factorization.

13153341573137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1190700, while the sum is 47.

The spelling of 13153341573137 in words is "thirteen trillion, one hundred fifty-three billion, three hundred forty-one million, five hundred seventy-three thousand, one hundred thirty-seven".