1311253613345 has 16 divisors (see below), whose sum is σ = 1717756056912. Its totient is φ = 955045831680.

The previous prime is 1311253613323. The next prime is 1311253613353. The reversal of 1311253613345 is 5433163521131.

It can be written as a sum of positive squares in 8 ways, for example, as 222586747681 + 1088666865664 = 471791^2 + 1043392^2 .

It is not a de Polignac number, because 1311253613345 - 2¹⁰ = 1311253612321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311253613299 and 1311253613308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138167396 + ... + 138176885.

It is an arithmetic number, because the mean of its divisors is an integer number (107359753557).

Almost surely, 2^{1311253613345} is an apocalyptic number.

It is an amenable number.

1311253613345 is a deficient number, since it is larger than the sum of its proper divisors (406502443567).

1311253613345 is a wasteful number, since it uses less digits than its factorization.

1311253613345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276344372.

The product of its digits is 97200, while the sum is 38.

The spelling of 1311253613345 in words is "one trillion, three hundred eleven billion, two hundred fifty-three million, six hundred thirteen thousand, three hundred forty-five".