133000313030100 has 108 divisors (see below), whose sum is σ = 441404568354204. Its totient is φ = 33380470717440.

The previous prime is 133000313030033. The next prime is 133000313030113. The reversal of 133000313030100 is 1030313000331.

133000313030100 is a `hidden beast` number, since 1 + 3 + 300 + 0 + 31 + 30 + 301 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2260343861136 + 130739969168964 = 1503444^2 + 11434158^2 .

It is a super-2 number, since 2×133000313030100² (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 35 ways as a sum of consecutive naturals, for example, 4346400159 + ... + 4346430758.

It is an arithmetic number, because the mean of its divisors is an integer number (4087079336613).

Almost surely, 2^{133000313030100} is an apocalyptic number.

133000313030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133000313030100 is an abundant number, since it is smaller than the sum of its proper divisors (308404255324104).

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

133000313030100 is a wasteful number, since it uses less digits than its factorization.

133000313030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692830954 (or 8692830944 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 133000313030100 its reverse (1030313000331), we get a palindrome (134030626030431).

The spelling of 133000313030100 in words is "one hundred thirty-three trillion, three hundred thirteen million, thirty thousand, one hundred".