132131013333400 has 96 divisors (see below), whose sum is σ = 310589478813600. Its totient is φ = 52273118592000.

The previous prime is 132131013333307. The next prime is 132131013333401. The reversal of 132131013333400 is 4333310131231.

It is a super-2 number, since 2×132131013333400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131013333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637037 + ... + 16468636.

It is an arithmetic number, because the mean of its divisors is an integer number (3235307070975).

Almost surely, 2^{132131013333400} is an apocalyptic number.

132131013333400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131013333400 is an abundant number, since it is smaller than the sum of its proper divisors (178458465480200).

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

132131013333400 is a wasteful number, since it uses less digits than its factorization.

132131013333400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19106069 (or 19106060 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 132131013333400 its reverse (4333310131231), we get a palindrome (136464323464631).

The spelling of 132131013333400 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, thirteen million, three hundred thirty-three thousand, four hundred".