100133133012 has 96 divisors (see below), whose sum is σ = 283287768960. Its totient is φ = 30334487040.

The previous prime is 100133132963. The next prime is 100133133013. The reversal of 100133133012 is 210331331001.

It is a happy number.

100133133012 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 331 + 330 + 1 + 2 = 666.

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 (100133133013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4852188 + ... + 4872780.

It is an arithmetic number, because the mean of its divisors is an integer number (2950914260).

Almost surely, 2^100133133012 is an apocalyptic number.

100133133012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100133133012 is an abundant number, since it is smaller than the sum of its proper divisors (183154635948).

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

100133133012 is a wasteful number, since it uses less digits than its factorization.

100133133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24710 (or 24702 counting only the distinct ones).

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

Adding to 100133133012 its reverse (210331331001), we get a palindrome (310464464013).

The spelling of 100133133012 in words is "one hundred billion, one hundred thirty-three million, one hundred thirty-three thousand, twelve".