1305135015413 has 2 divisors, whose sum is σ = 1305135015414. Its totient is φ = 1305135015412.

The previous prime is 1305135015389. The next prime is 1305135015511. The reversal of 1305135015413 is 3145105315031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1047804046129 + 257330969284 = 1023623^2 + 507278^2 .

It is a cyclic number.

It is not a de Polignac number, because 1305135015413 - 2²⁴ = 1305118238197 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1305135015413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305135015113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 652567507706 + 652567507707.

It is an arithmetic number, because the mean of its divisors is an integer number (652567507707).

Almost surely, 2^{1305135015413} is an apocalyptic number.

It is an amenable number.

1305135015413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305135015413 is an equidigital number, since it uses as much as digits as its factorization.

1305135015413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 1305135015413 in words is "one trillion, three hundred five billion, one hundred thirty-five million, fifteen thousand, four hundred thirteen".