13312256146353 has 10 divisors (see below), whose sum is σ = 19886209798994. Its totient is φ = 8874837430848.

The previous prime is 13312256146333. The next prime is 13312256146361. The reversal of 13312256146353 is 35364165221331.

13312256146353 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 2 + 5 + 6 + 1 + 4 + 635 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8481654379584 + 4830601766769 = 2912328^2 + 2197863^2 .

It is not a de Polignac number, because 13312256146353 - 2¹⁰ = 13312256145329 is a prime.

It is a super-2 number, since 2×13312256146353² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13312256146299 and 13312256146308.

It is not an unprimeable number, because it can be changed into a prime (13312256146333) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82174420576 + ... + 82174420737.

Almost surely, 2^{13312256146353} is an apocalyptic number.

It is an amenable number.

13312256146353 is a deficient number, since it is larger than the sum of its proper divisors (6573953652641).

13312256146353 is an equidigital number, since it uses as much as digits as its factorization.

13312256146353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164348841325 (or 164348841316 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 13312256146353 in words is "thirteen trillion, three hundred twelve billion, two hundred fifty-six million, one hundred forty-six thousand, three hundred fifty-three".