13301311310331 has 16 divisors (see below), whose sum is σ = 19347889886208. Its totient is φ = 8061180802400.

The previous prime is 13301311310317. The next prime is 13301311310387.

13301311310331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13301311310331 - 2³⁵ = 13266951571963 is a prime.

It is a super-2 number, since 2×13301311310331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13301311311331) 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, 4268100 + ... + 6694721.

It is an arithmetic number, because the mean of its divisors is an integer number (1209243117888).

Almost surely, 2^{13301311310331} is an apocalyptic number.

13301311310331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13301311310331 is a deficient number, since it is larger than the sum of its proper divisors (6046578575877).

13301311310331 is a wasteful number, since it uses less digits than its factorization.

13301311310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10999602.

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

It can be divided in two parts, 1330131 and 1310331, that added together give a palindrome (2640462).

The spelling of 13301311310331 in words is "thirteen trillion, three hundred one billion, three hundred eleven million, three hundred ten thousand, three hundred thirty-one".