13010125 has 32 divisors (see below), whose sum is σ = 17428320. Its totient is φ = 9676800.

The previous prime is 13010059. The next prime is 13010143. The reversal of 13010125 is 52101031.

It can be written as a sum of positive squares in 16 ways, for example, as 6487209 + 6522916 = 2547^2 + 2554^2 .

It is not a de Polignac number, because 13010125 - 2⁹ = 13009613 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134077 + ... + 134173.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^13010125 is an apocalyptic number.

It is an amenable number.

13010125 is a deficient number, since it is larger than the sum of its proper divisors (4418195).

13010125 is an equidigital number, since it uses as much as digits as its factorization.

13010125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 13010125 is about 3606.9550870506. The cubic root of 13010125 is about 235.1944971968.

Adding to 13010125 its reverse (52101031), we get a palindrome (65111156).

It can be divided in two parts, 130101 and 25, that multiplied together give a triangular number (3252525 = T₂₅₅₀).

The spelling of 13010125 in words is "thirteen million, ten thousand, one hundred twenty-five".