1313216544000 has 1152 divisors, whose sum is σ = 4833345613824. Its totient is φ = 314572800000.

The previous prime is 1313216543993. The next prime is 1313216544007. The reversal of 1313216544000 is 4456123131.

It is an interprime number because it is at equal distance from previous prime (1313216543993) and next prime (1313216544007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313216544007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5109791872 + ... + 5109792128.

It is an arithmetic number, because the mean of its divisors is an integer number (4195612512).

Almost surely, 2^{1313216544000} is an apocalyptic number.

1313216544000 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 1313216544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416672806912).

1313216544000 is an abundant number, since it is smaller than the sum of its proper divisors (3520129069824).

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

1313216544000 is a wasteful number, since it uses less digits than its factorization.

1313216544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 1313216544000 in words is "one trillion, three hundred thirteen billion, two hundred sixteen million, five hundred forty-four thousand".