13131120003137 has 2 divisors, whose sum is σ = 13131120003138. Its totient is φ = 13131120003136.

The previous prime is 13131120003097. The next prime is 13131120003227. The reversal of 13131120003137 is 73130002113131.

It is a happy number.

13131120003137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12223757070001 + 907362933136 = 3496249^2 + 952556^2 .

It is an emirp because it is prime and its reverse (73130002113131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131120003137 - 2¹⁰ = 13131120002113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131120003737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565560001568 + 6565560001569.

It is an arithmetic number, because the mean of its divisors is an integer number (6565560001569).

Almost surely, 2^{13131120003137} is an apocalyptic number.

It is an amenable number.

13131120003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131120003137 is an equidigital number, since it uses as much as digits as its factorization.

13131120003137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

Adding to 13131120003137 its reverse (73130002113131), we get a palindrome (86261122116268).

The spelling of 13131120003137 in words is "thirteen trillion, one hundred thirty-one billion, one hundred twenty million, three thousand, one hundred thirty-seven".