2320133000100 has 144 divisors (see below), whose sum is σ = 6895304672256. Its totient is φ = 601896960000.

The previous prime is 2320133000047. The next prime is 2320133000147. The reversal of 2320133000100 is 10003310232.

It is a super-3 number, since 3×2320133000100³ (a number of 38 digits) contains 333 as substring.

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 2320133000100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149187325 + ... + 149202875.

It is an arithmetic number, because the mean of its divisors is an integer number (47884060224).

Almost surely, 2^{2320133000100} is an apocalyptic number.

2320133000100 is a gapful number since it is divisible by the number (20) 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 2320133000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447652336128).

2320133000100 is an abundant number, since it is smaller than the sum of its proper divisors (4575171672156).

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

2320133000100 is a wasteful number, since it uses less digits than its factorization.

2320133000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29046 (or 29039 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2320133000100 its reverse (10003310232), we get a palindrome (2330136310332).

The spelling of 2320133000100 in words is "two trillion, three hundred twenty billion, one hundred thirty-three million, one hundred", and thus it is an aban number.