125313131061 has 12 divisors (see below), whose sum is σ = 181029853420. Its totient is φ = 83531934720.

The previous prime is 125313131059. The next prime is 125313131087. The reversal of 125313131061 is 160131313521.

It is a happy number.

125313131061 is a `hidden beast` number, since 12 + 531 + 3 + 13 + 106 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 120676338225 + 4636792836 = 347385^2 + 68094^2 .

It is not a de Polignac number, because 125313131061 - 2¹ = 125313131059 is a prime.

It is a super-2 number, since 2×125313131061² (a number of 23 digits) 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 (125313111061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767500 + ... + 916341.

Almost surely, 2^125313131061 is an apocalyptic number.

It is an amenable number.

125313131061 is a deficient number, since it is larger than the sum of its proper divisors (55716722359).

125313131061 is a wasteful number, since it uses less digits than its factorization.

125313131061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692116 (or 1692113 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 125313131061 its reverse (160131313521), we get a palindrome (285444444582).

The spelling of 125313131061 in words is "one hundred twenty-five billion, three hundred thirteen million, one hundred thirty-one thousand, sixty-one".