16313322331361 has 16 divisors (see below), whose sum is σ = 18252614532096. Its totient is φ = 14450955120000.

The previous prime is 16313322331289. The next prime is 16313322331433.

16313322331361 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (16313322331289) and next prime (16313322331433).

It is not a de Polignac number, because 16313322331361 - 2¹⁸ = 16313322069217 is a prime.

It is a super-3 number, since 3×16313322331361³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16313322331261) 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, 21658625 + ... + 22399166.

It is an arithmetic number, because the mean of its divisors is an integer number (1140788408256).

Almost surely, 2^{16313322331361} is an apocalyptic number.

16313322331361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16313322331361 is a deficient number, since it is larger than the sum of its proper divisors (1939292200735).

16313322331361 is a wasteful number, since it uses less digits than its factorization.

16313322331361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44058664.

The product of its digits is 104976, while the sum is 38.

It can be divided in two parts, 1631332 and 2331361, that added together give a palindrome (3962693).

The spelling of 16313322331361 in words is "sixteen trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand, three hundred sixty-one".