100023033132 has 216 divisors, whose sum is σ = 287108705520. Its totient is φ = 29116631040.

The previous prime is 100023033113. The next prime is 100023033137. The reversal of 100023033132 is 231330320001.

100023033132 is a `hidden beast` number, since 100 + 0 + 230 + 331 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100023033137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77596744 + ... + 77598032.

It is an arithmetic number, because the mean of its divisors is an integer number (1329206970).

Almost surely, 2^100023033132 is an apocalyptic number.

100023033132 is a gapful number since it is divisible by the number (12) 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 100023033132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143554352760).

100023033132 is an abundant number, since it is smaller than the sum of its proper divisors (187085672388).

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

100023033132 is a wasteful number, since it uses less digits than its factorization.

100023033132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100023033132 its reverse (231330320001), we get a palindrome (331353353133).

The spelling of 100023033132 in words is "one hundred billion, twenty-three million, thirty-three thousand, one hundred thirty-two".