132200113130100 has 360 divisors, whose sum is σ = 429711141398616. Its totient is φ = 35157196800000.

The previous prime is 132200113130087. The next prime is 132200113130147. The reversal of 132200113130100 is 1031311002231.

132200113130100 is a `hidden beast` number, since 1 + 32 + 200 + 1 + 131 + 301 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1076223657744 + 131123889472356 = 1037412^2 + 11450934^2 .

It is a super-2 number, since 2×132200113130100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4574225650 + ... + 4574254550.

Almost surely, 2^{132200113130100} is an apocalyptic number.

132200113130100 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 132200113130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214855570699308).

132200113130100 is an abundant number, since it is smaller than the sum of its proper divisors (297511028268516).

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

132200113130100 is a wasteful number, since it uses less digits than its factorization.

132200113130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30449 (or 30433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132200113130100 its reverse (1031311002231), we get a palindrome (133231424132331).

The spelling of 132200113130100 in words is "one hundred thirty-two trillion, two hundred billion, one hundred thirteen million, one hundred thirty thousand, one hundred".