1313053305200 has 240 divisors, whose sum is σ = 3889482515520. Its totient is φ = 414822850560.

The previous prime is 1313053305173. The next prime is 1313053305209. The reversal of 1313053305200 is 25033503131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1313053305200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313053305209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20679902 + ... + 20743298.

It is an arithmetic number, because the mean of its divisors is an integer number (16206177148).

Almost surely, 2^{1313053305200} is an apocalyptic number.

1313053305200 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 1313053305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944741257760).

1313053305200 is an abundant number, since it is smaller than the sum of its proper divisors (2576429210320).

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

1313053305200 is a wasteful number, since it uses less digits than its factorization.

1313053305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64004 (or 63993 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

Adding to 1313053305200 its reverse (25033503131), we get a palindrome (1338086808331).

The spelling of 1313053305200 in words is "one trillion, three hundred thirteen billion, fifty-three million, three hundred five thousand, two hundred".