2013103125 has 144 divisors (see below), whose sum is σ = 4128860736. Its totient is φ = 972000000.

The previous prime is 2013103117. The next prime is 2013103133. The reversal of 2013103125 is 5213013102.

It is an interprime number because it is at equal distance from previous prime (2013103117) and next prime (2013103133).

It is not a de Polignac number, because 2013103125 - 2³ = 2013103117 is a prime.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2013103098 and 2013103107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8353005 + ... + 8353245.

It is an arithmetic number, because the mean of its divisors is an integer number (28672644).

Almost surely, 2^2013103125 is an apocalyptic number.

2013103125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2013103125 is an abundant number, since it is smaller than the sum of its proper divisors (2115757611).

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

2013103125 is an frugal number, since it uses more digits than its factorization.

2013103125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2013103125 is about 44867.6177771898. The cubic root of 2013103125 is about 1262.6665466656. Note that the first 3 decimals are identical.

Adding to 2013103125 its reverse (5213013102), we get a palindrome (7226116227).

The spelling of 2013103125 in words is "two billion, thirteen million, one hundred three thousand, one hundred twenty-five".