13120142330313 has 32 divisors (see below), whose sum is σ = 19447511529600. Its totient is φ = 8742144172608.

The previous prime is 13120142330291. The next prime is 13120142330341. The reversal of 13120142330313 is 31303324102131.

13120142330313 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 14 + 2 + 330 + 313 = 666.

It is not a de Polignac number, because 13120142330313 - 2⁴² = 8722095819209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13120142332313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514038970 + ... + 514064492.

It is an arithmetic number, because the mean of its divisors is an integer number (607734735300).

Almost surely, 2^{13120142330313} is an apocalyptic number.

It is an amenable number.

13120142330313 is a deficient number, since it is larger than the sum of its proper divisors (6327369199287).

13120142330313 is a wasteful number, since it uses less digits than its factorization.

13120142330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34838 (or 34832 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13120142330313 its reverse (31303324102131), we get a palindrome (44423466432444).

The spelling of 13120142330313 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-two million, three hundred thirty thousand, three hundred thirteen".