13140313503137 has 2 divisors, whose sum is σ = 13140313503138. Its totient is φ = 13140313503136.

The previous prime is 13140313503103. The next prime is 13140313503167. The reversal of 13140313503137 is 73130531304131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10091905754176 + 3048407748961 = 3176776^2 + 1745969^2 .

It is a cyclic number.

It is not a de Polignac number, because 13140313503137 - 2⁶ = 13140313503073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13140313503097 and 13140313503106.

It is not a weakly prime, because it can be changed into another prime (13140313503167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570156751568 + 6570156751569.

It is an arithmetic number, because the mean of its divisors is an integer number (6570156751569).

Almost surely, 2^{13140313503137} is an apocalyptic number.

It is an amenable number.

13140313503137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140313503137 is an equidigital number, since it uses as much as digits as its factorization.

13140313503137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020, while the sum is 35.

Adding to 13140313503137 its reverse (73130531304131), we get a palindrome (86270844807268).

The spelling of 13140313503137 in words is "thirteen trillion, one hundred forty billion, three hundred thirteen million, five hundred three thousand, one hundred thirty-seven".