132101044413120 has 560 divisors, whose sum is σ = 497645704955520. Its totient is φ = 33148276310016.

The previous prime is 132101044413101. The next prime is 132101044413139. The reversal of 132101044413120 is 21314440101231.

It is a happy number.

132101044413120 is a `hidden beast` number, since 1 + 3 + 21 + 0 + 104 + 4 + 413 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (132101044413101) and next prime (132101044413139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2488267536 + ... + 2488320624.

Almost surely, 2^{132101044413120} is an apocalyptic number.

132101044413120 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 132101044413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248822852477760).

132101044413120 is an abundant number, since it is smaller than the sum of its proper divisors (365544660542400).

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

132101044413120 is a wasteful number, since it uses less digits than its factorization.

132101044413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58782 (or 58763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 132101044413120 its reverse (21314440101231), we get a palindrome (153415484514351).

The spelling of 132101044413120 in words is "one hundred thirty-two trillion, one hundred one billion, forty-four million, four hundred thirteen thousand, one hundred twenty".