133130123100 has 576 divisors, whose sum is σ = 492301824000. Its totient is φ = 30612556800.

The previous prime is 133130123089. The next prime is 133130123107. The reversal of 133130123100 is 1321031331.

It is a happy number.

133130123100 is a `hidden beast` number, since 1 + 331 + 301 + 2 + 31 + 0 + 0 = 666.

It is a super-2 number, since 2×133130123100² (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 not an unprimeable number, because it can be changed into a prime (133130123107) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31552791 + ... + 31557009.

Almost surely, 2^133130123100 is an apocalyptic number.

133130123100 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 133130123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246150912000).

133130123100 is an abundant number, since it is smaller than the sum of its proper divisors (359171700900).

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

133130123100 is a wasteful number, since it uses less digits than its factorization.

133130123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4302 counting only the distinct ones).

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

Adding to 133130123100 its reverse (1321031331), we get a palindrome (134451154431).

The spelling of 133130123100 in words is "one hundred thirty-three billion, one hundred thirty million, one hundred twenty-three thousand, one hundred".