20131332000 has 384 divisors, whose sum is σ = 75211089408. Its totient is φ = 4663296000.

The previous prime is 20131331993. The next prime is 20131332041. The reversal of 20131332000 is 23313102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2648205 + ... + 2655795.

It is an arithmetic number, because the mean of its divisors is an integer number (195862212).

Almost surely, 2^20131332000 is an apocalyptic number.

20131332000 is a gapful number since it is divisible by the number (20) 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 20131332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37605544704).

20131332000 is an abundant number, since it is smaller than the sum of its proper divisors (55079757408).

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

20131332000 is a wasteful number, since it uses less digits than its factorization.

20131332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20131332000 its reverse (23313102), we get a palindrome (20154645102).

The spelling of 20131332000 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-two thousand".