132301031300400 has 480 divisors, whose sum is σ = 439946814816000. Its totient is φ = 33945165434880.

The previous prime is 132301031300363. The next prime is 132301031300423. The reversal of 132301031300400 is 4003130103231.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12127690146 + ... + 12127701054.

It is an arithmetic number, because the mean of its divisors is an integer number (916555864200).

Almost surely, 2^{132301031300400} is an apocalyptic number.

132301031300400 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 132301031300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219973407408000).

132301031300400 is an abundant number, since it is smaller than the sum of its proper divisors (307645783515600).

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

132301031300400 is a wasteful number, since it uses less digits than its factorization.

132301031300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12141 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132301031300400 its reverse (4003130103231), we get a palindrome (136304161403631).

The spelling of 132301031300400 in words is "one hundred thirty-two trillion, three hundred one billion, thirty-one million, three hundred thousand, four hundred".