13033323320340 has 96 divisors (see below), whose sum is σ = 36915035472000. Its totient is φ = 3435412856832.

The previous prime is 13033323320317. The next prime is 13033323320393. The reversal of 13033323320340 is 4302332333031.

13033323320340 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 13033323320298 and 13033323320307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16537371 + ... + 17307549.

It is an arithmetic number, because the mean of its divisors is an integer number (384531619500).

Almost surely, 2^{13033323320340} is an apocalyptic number.

13033323320340 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 13033323320340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18457517736000).

13033323320340 is an abundant number, since it is smaller than the sum of its proper divisors (23881712151660).

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

13033323320340 is a wasteful number, since it uses less digits than its factorization.

13033323320340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773449 (or 773447 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 30.

Adding to 13033323320340 its reverse (4302332333031), we get a palindrome (17335655653371).

The spelling of 13033323320340 in words is "thirteen trillion, thirty-three billion, three hundred twenty-three million, three hundred twenty thousand, three hundred forty".