1313511424000 has 240 divisors, whose sum is σ = 3358600723296. Its totient is φ = 512557056000.

The previous prime is 1313511423997. The next prime is 1313511424019. The reversal of 1313511424000 is 4241153131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83960179 + ... + 83975821.

Almost surely, 2^{1313511424000} is an apocalyptic number.

1313511424000 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 1313511424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679300361648).

1313511424000 is an abundant number, since it is smaller than the sum of its proper divisors (2045089299296).

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

1313511424000 is an frugal number, since it uses more digits than its factorization.

1313511424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1313511424000 its reverse (4241153131), we get a palindrome (1317752577131).

The spelling of 1313511424000 in words is "one trillion, three hundred thirteen billion, five hundred eleven million, four hundred twenty-four thousand".