132001022031300 has 180 divisors, whose sum is σ = 428048003588436. Its totient is φ = 35187699456000.

The previous prime is 132001022031293. The next prime is 132001022031317. The reversal of 132001022031300 is 3130220100231.

132001022031300 is a `hidden beast` number, since 1 + 320 + 0 + 10 + 2 + 2 + 0 + 31 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32494172533956 + 99506849497344 = 5700366^2 + 9975312^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 19779064 + ... + 25597136.

Almost surely, 2^{132001022031300} is an apocalyptic number.

132001022031300 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 132001022031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214024001794218).

132001022031300 is an abundant number, since it is smaller than the sum of its proper divisors (296046981557136).

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

132001022031300 is a wasteful number, since it uses less digits than its factorization.

132001022031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820900 (or 5820884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132001022031300 its reverse (3130220100231), we get a palindrome (135131242131531).

The spelling of 132001022031300 in words is "one hundred thirty-two trillion, one billion, twenty-two million, thirty-one thousand, three hundred".