13201322310331 has 16 divisors (see below), whose sum is σ = 13319304685920. Its totient is φ = 13083841745920.

The previous prime is 13201322310307. The next prime is 13201322310347. The reversal of 13201322310331 is 13301322310231.

It is a de Polignac number, because none of the positive numbers 2^k-13201322310331 is a prime.

It is a super-2 number, since 2×13201322310331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13201322310296 and 13201322310305.

It is not an unprimeable number, because it can be changed into a prime (13201322310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211328580 + ... + 211391038.

It is an arithmetic number, because the mean of its divisors is an integer number (832456542870).

Almost surely, 2^{13201322310331} is an apocalyptic number.

13201322310331 is a deficient number, since it is larger than the sum of its proper divisors (117982375589).

13201322310331 is a wasteful number, since it uses less digits than its factorization.

13201322310331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66446.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13201322310331 its reverse (13301322310231), we get a palindrome (26502644620562).

The spelling of 13201322310331 in words is "thirteen trillion, two hundred one billion, three hundred twenty-two million, three hundred ten thousand, three hundred thirty-one".