13310011001331 has 24 divisors (see below), whose sum is σ = 21540197990064. Its totient is φ = 7848655133760.

The previous prime is 13310011001327. The next prime is 13310011001359.

13310011001331 is a `hidden beast` number, since 1 + 331 + 0 + 0 + 1 + 1 + 0 + 0 + 1 + 331 = 666.

13310011001331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13310011001331 - 2² = 13310011001327 is a prime.

It is a super-2 number, since 2×13310011001331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13310011001531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816814656 + ... + 1816821981.

It is an arithmetic number, because the mean of its divisors is an integer number (897508249586).

Almost surely, 2^{13310011001331} is an apocalyptic number.

13310011001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13310011001331 is a deficient number, since it is larger than the sum of its proper divisors (8230186988733).

13310011001331 is a wasteful number, since it uses less digits than its factorization.

13310011001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633636691 (or 3633636688 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 1331001 and 1001331, that added together give a palindrome (2332332).

The spelling of 13310011001331 in words is "thirteen trillion, three hundred ten billion, eleven million, one thousand, three hundred thirty-one".