133113023100 has 324 divisors, whose sum is σ = 437807103552. Its totient is φ = 33808320000.

The previous prime is 133113023083. The next prime is 133113023123. The reversal of 133113023100 is 1320311331.

It is a happy number.

133113023100 is a `hidden beast` number, since 1 + 331 + 1 + 302 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×133113023100² (a number of 23 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 68227125 + ... + 68229075.

Almost surely, 2^133113023100 is an apocalyptic number.

133113023100 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 133113023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218903551776).

133113023100 is an abundant number, since it is smaller than the sum of its proper divisors (304694080452).

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

133113023100 is a wasteful number, since it uses less digits than its factorization.

133113023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133113023100 its reverse (1320311331), we get a palindrome (134433334431).

The spelling of 133113023100 in words is "one hundred thirty-three billion, one hundred thirteen million, twenty-three thousand, one hundred".