1313564460012 has 192 divisors, whose sum is σ = 3944806297600. Its totient is φ = 370224691200.

The previous prime is 1313564460011. The next prime is 1313564460041. The reversal of 1313564460012 is 2100644653131.

1313564460012 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 5 + 6 + 44 + 600 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313564460011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71719368 + ... + 71737680.

Almost surely, 2^{1313564460012} is an apocalyptic number.

1313564460012 is a gapful number since it is divisible by the number (12) 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 1313564460012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972403148800).

1313564460012 is an abundant number, since it is smaller than the sum of its proper divisors (2631241837588).

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

1313564460012 is a wasteful number, since it uses less digits than its factorization.

1313564460012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19613 (or 19605 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1313564460012 in words is "one trillion, three hundred thirteen billion, five hundred sixty-four million, four hundred sixty thousand, twelve".