13313232000 has 384 divisors, whose sum is σ = 48652531200. Its totient is φ = 3487795200.

The previous prime is 13313231983. The next prime is 13313232001. The reversal of 13313232000 is 23231331.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×13313232000³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13313232001) 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, 8495217 + ... + 8496783.

It is an arithmetic number, because the mean of its divisors is an integer number (126699300).

Almost surely, 2^13313232000 is an apocalyptic number.

13313232000 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 13313232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326265600).

13313232000 is an abundant number, since it is smaller than the sum of its proper divisors (35339299200).

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

13313232000 is a wasteful number, since it uses less digits than its factorization.

13313232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1636 counting only the distinct ones).

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

Adding to 13313232000 its reverse (23231331), we get a palindrome (13336463331).

The spelling of 13313232000 in words is "thirteen billion, three hundred thirteen million, two hundred thirty-two thousand".