13001303322000 has 480 divisors, whose sum is σ = 52053203215104. Its totient is φ = 2962738944000.

The previous prime is 13001303321983. The next prime is 13001303322023. The reversal of 13001303322000 is 22330310031.

13001303322000 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 130 + 332 + 200 + 0 = 666.

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

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, 41550132 + ... + 41861868.

Almost surely, 2^{13001303322000} is an apocalyptic number.

13001303322000 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 13001303322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026601607552).

13001303322000 is an abundant number, since it is smaller than the sum of its proper divisors (39051899893104).

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

13001303322000 is a wasteful number, since it uses less digits than its factorization.

13001303322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312104 (or 312085 counting only the distinct ones).

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

Adding to 13001303322000 its reverse (22330310031), we get a palindrome (13023633632031).

The spelling of 13001303322000 in words is "thirteen trillion, one billion, three hundred three million, three hundred twenty-two thousand".