132101333100 has 216 divisors, whose sum is σ = 463916067888. Its totient is φ = 31158950400.

The previous prime is 132101333087. The next prime is 132101333123. The reversal of 132101333100 is 1333101231.

It is a happy number.

132101333100 is a `hidden beast` number, since 1 + 321 + 0 + 1 + 33 + 310 + 0 = 666.

It is a super-2 number, since 2×132101333100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 185982 + ... + 546618.

Almost surely, 2^132101333100 is an apocalyptic number.

132101333100 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 132101333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231958033944).

132101333100 is an abundant number, since it is smaller than the sum of its proper divisors (331814734788).

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

132101333100 is a wasteful number, since it uses less digits than its factorization.

132101333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360705 (or 360695 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 132101333100 its reverse (1333101231), we get a palindrome (133434434331).

The spelling of 132101333100 in words is "one hundred thirty-two billion, one hundred one million, three hundred thirty-three thousand, one hundred".