2003325314100 has 288 divisors, whose sum is σ = 6392734088832. Its totient is φ = 480326400000.

The previous prime is 2003325314087. The next prime is 2003325314147. The reversal of 2003325314100 is 14135233002.

It is a super-2 number, since 2×2003325314100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372293410 + ... + 372298790.

It is an arithmetic number, because the mean of its divisors is an integer number (22196993364).

Almost surely, 2^{2003325314100} is an apocalyptic number.

2003325314100 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 2003325314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196367044416).

2003325314100 is an abundant number, since it is smaller than the sum of its proper divisors (4389408774732).

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

2003325314100 is a wasteful number, since it uses less digits than its factorization.

2003325314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6620 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 2003325314100 in words is "two trillion, three billion, three hundred twenty-five million, three hundred fourteen thousand, one hundred".