132213303312100 has 18 divisors (see below), whose sum is σ = 286902868187474. Its totient is φ = 52885321324800.

The previous prime is 132213303312071. The next prime is 132213303312169. The reversal of 132213303312100 is 1213303312231.

It can be written as a sum of positive squares in 3 ways, for example, as 10974749849856 + 121238553462244 = 3312816^2 + 11010838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661066516461 + ... + 661066516660.

Almost surely, 2^{132213303312100} is an apocalyptic number.

132213303312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213303312100 is an abundant number, since it is smaller than the sum of its proper divisors (154689564875374).

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

132213303312100 is a wasteful number, since it uses less digits than its factorization.

132213303312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322133033135 (or 1322133033128 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 132213303312100 its reverse (1213303312231), we get a palindrome (133426606624331).

The spelling of 132213303312100 in words is "one hundred thirty-two trillion, two hundred thirteen billion, three hundred three million, three hundred twelve thousand, one hundred".