13304311340331 has 16 divisors (see below), whose sum is σ = 20370237459840. Its totient is φ = 7638839046720.

The previous prime is 13304311340323. The next prime is 13304311340339.

13304311340331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (13304311340323) and next prime (13304311340339).

It is not a de Polignac number, because 13304311340331 - 2³ = 13304311340323 is a prime.

It is a super-2 number, since 2×13304311340331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13304311340339) 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, 10609498050 + ... + 10609499303.

It is an arithmetic number, because the mean of its divisors is an integer number (1273139841240).

Almost surely, 2^{13304311340331} is an apocalyptic number.

13304311340331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13304311340331 is a deficient number, since it is larger than the sum of its proper divisors (7065926119509).

13304311340331 is a wasteful number, since it uses less digits than its factorization.

13304311340331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21218997386.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1330431 and 1340331, that added together give a palindrome (2670762).

The spelling of 13304311340331 in words is "thirteen trillion, three hundred four billion, three hundred eleven million, three hundred forty thousand, three hundred thirty-one".