13313101313031 has 16 divisors (see below), whose sum is σ = 19116439964160. Its totient is φ = 8192595477600.

The previous prime is 13313101313027. The next prime is 13313101313081. The reversal of 13313101313031 is 13031310131331.

It is not a de Polignac number, because 13313101313031 - 2² = 13313101313027 is a prime.

It is a super-2 number, since 2×13313101313031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13313101312992 and 13313101313010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313101313081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2342206 + ... + 5666756.

It is an arithmetic number, because the mean of its divisors is an integer number (1194777497760).

Almost surely, 2^{13313101313031} is an apocalyptic number.

13313101313031 is a deficient number, since it is larger than the sum of its proper divisors (5803338651129).

13313101313031 is a wasteful number, since it uses less digits than its factorization.

13313101313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427246.

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

Adding to 13313101313031 its reverse (13031310131331), we get a palindrome (26344411444362).

The spelling of 13313101313031 in words is "thirteen trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, thirty-one".