1003013100 has 108 divisors (see below), whose sum is σ = 3154171384. Its totient is φ = 266595840.

The previous prime is 1003013071. The next prime is 1003013101. The reversal of 1003013100 is 13103001.

It is a super-2 number, since 2×1003013100² = 2012070557543220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1003013101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 301647 + ... + 304953.

Almost surely, 2^1003013100 is an apocalyptic number.

1003013100 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 1003013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577085692).

1003013100 is an abundant number, since it is smaller than the sum of its proper divisors (2151158284).

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

1003013100 is a wasteful number, since it uses less digits than its factorization.

1003013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1003013100 is about 31670.3820627412. The cubic root of 1003013100 is about 1001.0033595995.

Adding to 1003013100 its reverse (13103001), we get a palindrome (1016116101).

The spelling of 1003013100 in words is "one billion, three million, thirteen thousand, one hundred".