1313964000000 has 1512 divisors, whose sum is σ = 5324711530320. Its totient is φ = 309657600000.

The previous prime is 1313963999993. The next prime is 1313964000007. The reversal of 1313964000000 is 4693131.

1313964000000 is a `hidden beast` number, since 1 + 3 + 13 + 9 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1313963999993) and next prime (1313964000007).

It is not an unprimeable number, because it can be changed into a prime (1313964000007) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11627999944 + ... + 11628000056.

It is an arithmetic number, because the mean of its divisors is an integer number (3521634610).

Almost surely, 2^{1313964000000} is an apocalyptic number.

1313964000000 is a gapful number since it is divisible by the number (10) 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 1313964000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662355765160).

1313964000000 is an abundant number, since it is smaller than the sum of its proper divisors (4010747530320).

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

1313964000000 is an equidigital number, since it uses as much as digits as its factorization.

1313964000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1313964000000 its reverse (4693131), we get a palindrome (1313968693131).

The spelling of 1313964000000 in words is "one trillion, three hundred thirteen billion, nine hundred sixty-four million", and thus it is an aban number.