1313544451200 has 192 divisors, whose sum is σ = 4327232414400. Its totient is φ = 350218178560.

The previous prime is 1313544451159. The next prime is 1313544451213. The reversal of 1313544451200 is 21544453131.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99286186 + ... + 99299414.

It is an arithmetic number, because the mean of its divisors is an integer number (22537668825).

Almost surely, 2^{1313544451200} is an apocalyptic number.

1313544451200 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 1313544451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163616207200).

1313544451200 is an abundant number, since it is smaller than the sum of its proper divisors (3013687963200).

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

1313544451200 is a wasteful number, since it uses less digits than its factorization.

1313544451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23599 (or 23582 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1313544451200 in words is "one trillion, three hundred thirteen billion, five hundred forty-four million, four hundred fifty-one thousand, two hundred".