13257123 has 24 divisors (see below), whose sum is σ = 19790400. Its totient is φ = 7885680.

The previous prime is 13257121. The next prime is 13257143. The reversal of 13257123 is 32175231.

It is not a de Polignac number, because 13257123 - 2¹ = 13257121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13257093 and 13257102.

It is not an unprimeable number, because it can be changed into a prime (13257121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21108 + ... + 21726.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^13257123 is an apocalyptic number.

13257123 is a deficient number, since it is larger than the sum of its proper divisors (6533277).

13257123 is a wasteful number, since it uses less digits than its factorization.

13257123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 13257123 is about 3641.0332324767. The cubic root of 13257123 is about 236.6735700779.

It can be divided in two parts, 1325 and 7123, that added together give a palindrome (8448).

The spelling of 13257123 in words is "thirteen million, two hundred fifty-seven thousand, one hundred twenty-three".