13325433016320 has 1040 divisors, whose sum is σ = 50978436524928. Its totient is φ = 3317972336640.

The previous prime is 13325433016307. The next prime is 13325433016321. The reversal of 13325433016320 is 2361033452331.

13325433016320 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 543 + 30 + 1 + 63 + 20 = 666.

It is a super-2 number, since 2×13325433016320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13325433016321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3694323957 + ... + 3694327563.

Almost surely, 2^{13325433016320} is an apocalyptic number.

13325433016320 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 13325433016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25489218262464).

13325433016320 is an abundant number, since it is smaller than the sum of its proper divisors (37653003508608).

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

13325433016320 is a wasteful number, since it uses less digits than its factorization.

13325433016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 13325433016320 its reverse (2361033452331), we get a palindrome (15686466468651).

The spelling of 13325433016320 in words is "thirteen trillion, three hundred twenty-five billion, four hundred thirty-three million, sixteen thousand, three hundred twenty".