13001322010320 has 480 divisors, whose sum is σ = 52339408063488. Its totient is φ = 2829892349952.

The previous prime is 13001322010319. The next prime is 13001322010349. The reversal of 13001322010320 is 2301022310031.

13001322010320 is a `hidden beast` number, since 1 + 300 + 1 + 32 + 2 + 0 + 10 + 320 = 666.

13001322010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13001322010293 and 13001322010302.

It is a congruent number.

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, 8022862 + ... + 9506258.

Almost surely, 2^{13001322010320} is an apocalyptic number.

13001322010320 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 13001322010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26169704031744).

13001322010320 is an abundant number, since it is smaller than the sum of its proper divisors (39338086053168).

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

13001322010320 is a wasteful number, since it uses less digits than its factorization.

13001322010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483507 (or 1483498 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13001322010320 its reverse (2301022310031), we get a palindrome (15302344320351).

The spelling of 13001322010320 in words is "thirteen trillion, one billion, three hundred twenty-two million, ten thousand, three hundred twenty".