132431012013300 has 864 divisors, whose sum is σ = 531270140534784. Its totient is φ = 24714802944000.

The previous prime is 132431012013277. The next prime is 132431012013317. The reversal of 132431012013300 is 3310210134231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143985885 + ... + 144902715.

Almost surely, 2^{132431012013300} is an apocalyptic number.

132431012013300 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 132431012013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265635070267392).

132431012013300 is an abundant number, since it is smaller than the sum of its proper divisors (398839128521484).

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

132431012013300 is a wasteful number, since it uses less digits than its factorization.

132431012013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916929 (or 916909 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132431012013300 its reverse (3310210134231), we get a palindrome (135741222147531).

The spelling of 132431012013300 in words is "one hundred thirty-two trillion, four hundred thirty-one billion, twelve million, thirteen thousand, three hundred".