2003013100 has 288 divisors, whose sum is σ = 5345657856. Its totient is φ = 642969600.

The previous prime is 2003013071. The next prime is 2003013101. The reversal of 2003013100 is 13103002.

It is a super-2 number, since 2×2003013100² = 8024122957543220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2003013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37792674 + ... + 37792726.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2^2003013100 is an apocalyptic number.

2003013100 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 2003013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672828928).

2003013100 is an abundant number, since it is smaller than the sum of its proper divisors (3342644756).

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

2003013100 is a wasteful number, since it uses less digits than its factorization.

2003013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2003013100 is about 44755.0343536903. The cubic root of 2003013100 is about 1260.5534437760.

Adding to 2003013100 its reverse (13103002), we get a palindrome (2016116102).

It can be divided in two parts, 200301 and 3100, that added together give a square (203401 = 451²).

The spelling of 2003013100 in words is "two billion, three million, thirteen thousand, one hundred".