100033323030132 has 72 divisors (see below), whose sum is σ = 246384889109856. Its totient is φ = 31584028199616.

The previous prime is 100033323030131. The next prime is 100033323030133. The reversal of 100033323030132 is 231030323330001.

It is an interprime number because it is at equal distance from previous prime (100033323030131) and next prime (100033323030133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033323030131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23195703 + ... + 27168129.

It is an arithmetic number, because the mean of its divisors is an integer number (3422012348748).

Almost surely, 2^{100033323030132} is an apocalyptic number.

100033323030132 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 100033323030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123192444554928).

100033323030132 is an abundant number, since it is smaller than the sum of its proper divisors (146351566079724).

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

100033323030132 is a wasteful number, since it uses less digits than its factorization.

100033323030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978285 (or 3978264 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 100033323030132 its reverse (231030323330001), we get a palindrome (331063646360133).

The spelling of 100033323030132 in words is "one hundred trillion, thirty-three billion, three hundred twenty-three million, thirty thousand, one hundred thirty-two".