1313563521200 has 180 divisors, whose sum is σ = 3673704957120. Its totient is φ = 450042001920.

The previous prime is 1313563521197. The next prime is 1313563521233. The reversal of 1313563521200 is 21253653131.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28181114 + ... + 28227686.

It is an arithmetic number, because the mean of its divisors is an integer number (20409471984).

Almost surely, 2^{1313563521200} is an apocalyptic number.

1313563521200 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 1313563521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836852478560).

1313563521200 is an abundant number, since it is smaller than the sum of its proper divisors (2360141435920).

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

1313563521200 is a wasteful number, since it uses less digits than its factorization.

1313563521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48044 (or 48026 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 1313563521200 in words is "one trillion, three hundred thirteen billion, five hundred sixty-three million, five hundred twenty-one thousand, two hundred".