1313251413125 has 20 divisors (see below), whose sum is σ = 1737570683772. Its totient is φ = 988801056000.

The previous prime is 1313251413107. The next prime is 1313251413137. The reversal of 1313251413125 is 5213141523131.

It can be written as a sum of positive squares in 10 ways, for example, as 569072588161 + 744178824964 = 754369^2 + 862658^2 .

It is not a de Polignac number, because 1313251413125 - 2²⁰ = 1313250364549 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313251413091 and 1313251413100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61789442 + ... + 61810691.

Almost surely, 2^{1313251413125} is an apocalyptic number.

It is an amenable number.

1313251413125 is a deficient number, since it is larger than the sum of its proper divisors (424319270647).

1313251413125 is an equidigital number, since it uses as much as digits as its factorization.

1313251413125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123600170 (or 123600155 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

Adding to 1313251413125 its reverse (5213141523131), we get a palindrome (6526392936256).

The spelling of 1313251413125 in words is "one trillion, three hundred thirteen billion, two hundred fifty-one million, four hundred thirteen thousand, one hundred twenty-five".