125113 has 2 divisors, whose sum is σ = 125114. Its totient is φ = 125112.

The previous prime is 125107. The next prime is 125117. The reversal of 125113 is 311521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71289 + 53824 = 267^2 + 232^2 .

It is a cyclic number.

It is not a de Polignac number, because 125113 - 2⁹ = 124601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125093 and 125102.

It is not a weakly prime, because it can be changed into another prime (125117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62556 + 62557.

It is an arithmetic number, because the mean of its divisors is an integer number (62557).

2¹²⁵¹¹³ is an apocalyptic number.

It is an amenable number.

125113 is a deficient number, since it is larger than the sum of its proper divisors (1).

125113 is an equidigital number, since it uses as much as digits as its factorization.

125113 is an evil number, because the sum of its binary digits is even.

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

The square root of 125113 is about 353.7131606260. The cubic root of 125113 is about 50.0150621289.

Adding to 125113 its reverse (311521), we get a palindrome (436634).

The spelling of 125113 in words is "one hundred twenty-five thousand, one hundred thirteen".