133031001132100 has 36 divisors (see below), whose sum is σ = 288677785603284. Its totient is φ = 53212305863680.

The previous prime is 133031001132097. The next prime is 133031001132109. The reversal of 133031001132100 is 1231100130331.

133031001132100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8160746316804 + 124870254815296 = 2856702^2 + 11174536^2 .

It is not an unprimeable number, because it can be changed into a prime (133031001132109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91500444 + ... + 92942956.

It is an arithmetic number, because the mean of its divisors is an integer number (8018827377869).

Almost surely, 2^{133031001132100} is an apocalyptic number.

133031001132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133031001132100 is an abundant number, since it is smaller than the sum of its proper divisors (155646784471184).

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

133031001132100 is a wasteful number, since it uses less digits than its factorization.

133031001132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364744 (or 2364737 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133031001132100 its reverse (1231100130331), we get a palindrome (134262101262431).

The spelling of 133031001132100 in words is "one hundred thirty-three trillion, thirty-one billion, one million, one hundred thirty-two thousand, one hundred".