13131313273 has 8 divisors (see below), whose sum is σ = 14143086216. Its totient is φ = 12119779200.

The previous prime is 13131313267. The next prime is 13131313289. The reversal of 13131313273 is 37231313131.

It can be written as a sum of positive squares in 4 ways, for example, as 250652224 + 12880661049 = 15832^2 + 113493^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13131313273 - 2²⁵ = 13097758841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131313673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63963 + ... + 174223.

It is an arithmetic number, because the mean of its divisors is an integer number (1767885777).

Almost surely, 2^13131313273 is an apocalyptic number.

13131313273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131313273 is a deficient number, since it is larger than the sum of its proper divisors (1011772943).

13131313273 is a wasteful number, since it uses less digits than its factorization.

13131313273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119435.

The product of its digits is 3402, while the sum is 28.

The spelling of 13131313273 in words is "thirteen billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred seventy-three".