13143157103137 has 2 divisors, whose sum is σ = 13143157103138. Its totient is φ = 13143157103136.

The previous prime is 13143157103039. The next prime is 13143157103161. The reversal of 13143157103137 is 73130175134131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10295267973376 + 2847889129761 = 3208624^2 + 1687569^2 .

It is a cyclic number.

It is not a de Polignac number, because 13143157103137 - 2⁷ = 13143157103009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13143157103137.

It is not a weakly prime, because it can be changed into another prime (13143157173137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6571578551568 + 6571578551569.

It is an arithmetic number, because the mean of its divisors is an integer number (6571578551569).

Almost surely, 2^{13143157103137} is an apocalyptic number.

It is an amenable number.

13143157103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13143157103137 is an equidigital number, since it uses as much as digits as its factorization.

13143157103137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 40.

The spelling of 13143157103137 in words is "thirteen trillion, one hundred forty-three billion, one hundred fifty-seven million, one hundred three thousand, one hundred thirty-seven".