20132401300 has 144 divisors (see below), whose sum is σ = 52091665920. Its totient is φ = 6667776000.

The previous prime is 20132401169. The next prime is 20132401301. The reversal of 20132401300 is 310423102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562336 + ... + 597064.

It is an arithmetic number, because the mean of its divisors is an integer number (361747680).

Almost surely, 2^20132401300 is an apocalyptic number.

20132401300 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 20132401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045832960).

20132401300 is an abundant number, since it is smaller than the sum of its proper divisors (31959264620).

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

20132401300 is a wasteful number, since it uses less digits than its factorization.

20132401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34802 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20132401300 its reverse (310423102), we get a palindrome (20442824402).

The spelling of 20132401300 in words is "twenty billion, one hundred thirty-two million, four hundred one thousand, three hundred".