13020232000 has 112 divisors (see below), whose sum is σ = 34141702608. Its totient is φ = 4901683200.

The previous prime is 13020231929. The next prime is 13020232003. The reversal of 13020232000 is 23202031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 176996416 + 12843235584 = 13304^2 + 113328^2 .

It is a super-3 number, since 3×13020232000³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020232003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88132 + ... + 183868.

Almost surely, 2^13020232000 is an apocalyptic number.

13020232000 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 13020232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17070851304).

13020232000 is an abundant number, since it is smaller than the sum of its proper divisors (21121470608).

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

13020232000 is an equidigital number, since it uses as much as digits as its factorization.

13020232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95781 (or 95761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 13020232000 its reverse (23202031), we get a palindrome (13043434031).

The spelling of 13020232000 in words is "thirteen billion, twenty million, two hundred thirty-two thousand".