125431101 has 12 divisors (see below), whose sum is σ = 181933180. Its totient is φ = 83272320.

The previous prime is 125431079. The next prime is 125431127. The reversal of 125431101 is 101134521.

125431101 is a `hidden beast` number, since 12 + 543 + 110 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80192025 + 45239076 = 8955^2 + 6726^2 .

It is not a de Polignac number, because 125431101 - 2⁵ = 125431069 is a prime.

It is a super-2 number, since 2×125431101² = 31465922196144402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125431181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26746 + ... + 31083.

Almost surely, 2^125431101 is an apocalyptic number.

It is an amenable number.

125431101 is a deficient number, since it is larger than the sum of its proper divisors (56502079).

125431101 is a wasteful number, since it uses less digits than its factorization.

125431101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58073 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 125431101 is about 11199.6027161681. The cubic root of 125431101 is about 500.5741418034.

Adding to 125431101 its reverse (101134521), we get a palindrome (226565622).

The spelling of 125431101 in words is "one hundred twenty-five million, four hundred thirty-one thousand, one hundred one".