13303320408 has 192 divisors, whose sum is σ = 42620497920. Its totient is φ = 3668371200.

The previous prime is 13303320319. The next prime is 13303320409. The reversal of 13303320408 is 80402330331.

13303320408 is a `hidden beast` number, since 1 + 330 + 3 + 320 + 4 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303320409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7201741 + ... + 7203587.

It is an arithmetic number, because the mean of its divisors is an integer number (221981760).

Almost surely, 2^13303320408 is an apocalyptic number.

13303320408 is a gapful number since it is divisible by the number (18) 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 13303320408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21310248960).

13303320408 is an abundant number, since it is smaller than the sum of its proper divisors (29317177512).

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

13303320408 is a wasteful number, since it uses less digits than its factorization.

13303320408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13303320408 its reverse (80402330331), we get a palindrome (93705650739).

The spelling of 13303320408 in words is "thirteen billion, three hundred three million, three hundred twenty thousand, four hundred eight".