132201212331000 has 256 divisors, whose sum is σ = 434349823564800. Its totient is φ = 33411521088000.

The previous prime is 132201212330903. The next prime is 132201212331011. The reversal of 132201212331000 is 133212102231.

It is a super-2 number, since 2×132201212331000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1267806 + ... + 16309805.

It is an arithmetic number, because the mean of its divisors is an integer number (1696678998300).

Almost surely, 2^{132201212331000} is an apocalyptic number.

132201212331000 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 132201212331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217174911782400).

132201212331000 is an abundant number, since it is smaller than the sum of its proper divisors (302148611233800).

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

132201212331000 is a wasteful number, since it uses less digits than its factorization.

132201212331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17577767 (or 17577753 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 132201212331000 its reverse (133212102231), we get a palindrome (132334424433231).

The spelling of 132201212331000 in words is "one hundred thirty-two trillion, two hundred one billion, two hundred twelve million, three hundred thirty-one thousand".