2003032323100 has 144 divisors (see below), whose sum is σ = 4449625705728. Its totient is φ = 782372597760.

The previous prime is 2003032323049. The next prime is 2003032323143. The reversal of 2003032323100 is 13232303002.

It is a happy number.

It is a super-2 number, since 2×2003032323100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278258517 + ... + 1278260083.

It is an arithmetic number, because the mean of its divisors is an integer number (30900178512).

Almost surely, 2^{2003032323100} is an apocalyptic number.

2003032323100 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 2003032323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224812852864).

2003032323100 is an abundant number, since it is smaller than the sum of its proper divisors (2446593382628).

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

2003032323100 is a wasteful number, since it uses less digits than its factorization.

2003032323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 2003032323100 its reverse (13232303002), we get a palindrome (2016264626102).

The spelling of 2003032323100 in words is "two trillion, three billion, thirty-two million, three hundred twenty-three thousand, one hundred".