100133002003132 has 192 divisors, whose sum is σ = 208158914396160. Its totient is φ = 41254300698624.

The previous prime is 100133002003109. The next prime is 100133002003163. The reversal of 100133002003132 is 231300200331001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39375933453 + ... + 39375935995.

It is an arithmetic number, because the mean of its divisors is an integer number (1084161012480).

Almost surely, 2^{100133002003132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133002003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104079457198080).

100133002003132 is an abundant number, since it is smaller than the sum of its proper divisors (108025912393028).

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

100133002003132 is a wasteful number, since it uses less digits than its factorization.

100133002003132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100133002003132 its reverse (231300200331001), we get a palindrome (331433202334133).

The spelling of 100133002003132 in words is "one hundred trillion, one hundred thirty-three billion, two million, three thousand, one hundred thirty-two".