1313667023616 has 288 divisors, whose sum is σ = 4100149536000. Its totient is φ = 413731971072.

The previous prime is 1313667023527. The next prime is 1313667023629. The reversal of 1313667023616 is 6163207663131.

1313667023616 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 6 + 7 + 0 + 23 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1313667023616² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49760116 + ... + 49786508.

Almost surely, 2^{1313667023616} is an apocalyptic number.

1313667023616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313667023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050074768000).

1313667023616 is an abundant number, since it is smaller than the sum of its proper divisors (2786482512384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313667023616 is a wasteful number, since it uses less digits than its factorization.

1313667023616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26816 (or 26796 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1313667023616 in words is "one trillion, three hundred thirteen billion, six hundred sixty-seven million, twenty-three thousand, six hundred sixteen".