1313000000000 has 400 divisors, whose sum is σ = 3566513306664. Its totient is φ = 480000000000.

The previous prime is 1312999999999. The next prime is 1313000000009. The reversal of 1313000000000 is 3131.

It can be written as a sum of positive squares in 20 ways, for example, as 464862148864 + 848137851136 = 681808^2 + 920944^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1313000000009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12999999950 + ... + 13000000050.

Almost surely, 2^{1313000000000} is an apocalyptic number.

1313000000000 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 1313000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783256653332).

1313000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2253513306664).

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

1313000000000 is an frugal number, since it uses more digits than its factorization.

1313000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 1313000000000 its reverse (3131), we get a palindrome (1313000003131).

The spelling of 1313000000000 in words is "one trillion, three hundred thirteen billion", and thus it is an aban number.