16313433431361 has 128 divisors (see below), whose sum is σ = 25954615296000. Its totient is φ = 9013301256960.

The previous prime is 16313433431353. The next prime is 16313433431377.

16313433431361 is nontrivially palindromic in base 10.

16313433431361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16313433431361 - 2³ = 16313433431353 is a prime.

It is a super-2 number, since 2×16313433431361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16313433431161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 281727790 + ... + 281785688.

It is an arithmetic number, because the mean of its divisors is an integer number (202770432000).

Almost surely, 2^{16313433431361} is an apocalyptic number.

16313433431361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16313433431361 is a deficient number, since it is larger than the sum of its proper divisors (9641181864639).

16313433431361 is a wasteful number, since it uses less digits than its factorization.

16313433431361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58179.

The product of its digits is 419904, while the sum is 42.

The spelling of 16313433431361 in words is "sixteen trillion, three hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, three hundred sixty-one".