10133330100 has 72 divisors (see below), whose sum is σ = 29433407808. Its totient is φ = 2691686400.

The previous prime is 10133330099. The next prime is 10133330149. The reversal of 10133330100 is 103333101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10133330100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11385 + ... + 142815.

Almost surely, 2^10133330100 is an apocalyptic number.

10133330100 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 10133330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716703904).

10133330100 is an abundant number, since it is smaller than the sum of its proper divisors (19300077708).

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

10133330100 is a wasteful number, since it uses less digits than its factorization.

10133330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131705 (or 131698 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10133330100 its reverse (103333101), we get a palindrome (10236663201).

The spelling of 10133330100 in words is "ten billion, one hundred thirty-three million, three hundred thirty thousand, one hundred".