133022302100 has 36 divisors (see below), whose sum is σ = 305638305084. Its totient is φ = 50078983680.

The previous prime is 133022302099. The next prime is 133022302129. The reversal of 133022302100 is 1203220331.

133022302100 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 16417809424 + 116604492676 = 128132^2 + 341474^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39122507 + ... + 39125906.

It is an arithmetic number, because the mean of its divisors is an integer number (8489952919).

Almost surely, 2^133022302100 is an apocalyptic number.

133022302100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133022302100 is an abundant number, since it is smaller than the sum of its proper divisors (172616002984).

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

133022302100 is a wasteful number, since it uses less digits than its factorization.

133022302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78248444 (or 78248437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 133022302100 its reverse (1203220331), we get a palindrome (134225522431).

The spelling of 133022302100 in words is "one hundred thirty-three billion, twenty-two million, three hundred two thousand, one hundred".