1313020300320 has 576 divisors, whose sum is σ = 4696036974720. Its totient is φ = 333652967424.

The previous prime is 1313020300313. The next prime is 1313020300367. The reversal of 1313020300320 is 230030203131.

1313020300320 is a `hidden beast` number, since 1 + 31 + 302 + 0 + 300 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1313020300293 and 1313020300302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2042021919 + ... + 2042022561.

It is an arithmetic number, because the mean of its divisors is an integer number (8152841970).

Almost surely, 2^{1313020300320} is an apocalyptic number.

1313020300320 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 1313020300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348018487360).

1313020300320 is an abundant number, since it is smaller than the sum of its proper divisors (3383016674400).

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

1313020300320 is a wasteful number, since it uses less digits than its factorization.

1313020300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1313020300320 its reverse (230030203131), we get a palindrome (1543050503451).

The spelling of 1313020300320 in words is "one trillion, three hundred thirteen billion, twenty million, three hundred thousand, three hundred twenty".