1313329803120 has 640 divisors, whose sum is σ = 4797772922880. Its totient is φ = 329749263360.

The previous prime is 1313329802929. The next prime is 1313329803157. The reversal of 1313329803120 is 213089233131.

It is a happy number.

1313329803120 is a `hidden beast` number, since 1 + 3 + 1 + 332 + 9 + 8 + 0 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 372362797 + ... + 372366323.

It is an arithmetic number, because the mean of its divisors is an integer number (7496520192).

Almost surely, 2^{1313329803120} is an apocalyptic number.

1313329803120 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 1313329803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398886461440).

1313329803120 is an abundant number, since it is smaller than the sum of its proper divisors (3484443119760).

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

1313329803120 is a wasteful number, since it uses less digits than its factorization.

1313329803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1313329803120 in words is "one trillion, three hundred thirteen billion, three hundred twenty-nine million, eight hundred three thousand, one hundred twenty".