13131001331313 has 8 divisors (see below), whose sum is σ = 18429475552800. Its totient is φ = 8293263998688.

The previous prime is 13131001331281. The next prime is 13131001331339. The reversal of 13131001331313 is 31313310013131.

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

It is not a de Polignac number, because 13131001331313 - 2⁵ = 13131001331281 is a prime.

It is a super-3 number, since 3×13131001331313³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131001331363) 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, 115184222148 + ... + 115184222261.

It is an arithmetic number, because the mean of its divisors is an integer number (2303684444100).

Almost surely, 2^{13131001331313} is an apocalyptic number.

It is an amenable number.

13131001331313 is a deficient number, since it is larger than the sum of its proper divisors (5298474221487).

13131001331313 is a wasteful number, since it uses less digits than its factorization.

13131001331313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230368444431.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 13131001331313 its reverse (31313310013131), we get a palindrome (44444311344444).

The spelling of 13131001331313 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred thirty-one thousand, three hundred thirteen".