132101310000000 has 512 divisors, whose sum is σ = 478491931307520. Its totient is φ = 32024480000000.

The previous prime is 132101309999951. The next prime is 132101310000031. The reversal of 132101310000000 is 13101231.

It is a super-2 number, since 2×132101310000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 329799847 + ... + 330200153.

It is an arithmetic number, because the mean of its divisors is an integer number (934554553335).

Almost surely, 2^{132101310000000} is an apocalyptic number.

132101310000000 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 132101310000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239245965653760).

132101310000000 is an abundant number, since it is smaller than the sum of its proper divisors (346390621307520).

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

132101310000000 is an frugal number, since it uses more digits than its factorization.

132101310000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400370 (or 400328 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 132101310000000 its reverse (13101231), we get a palindrome (132101323101231).

The spelling of 132101310000000 in words is "one hundred thirty-two trillion, one hundred one billion, three hundred ten million", and thus it is an aban number.