125313162368121 has 192 divisors, whose sum is σ = 233627262668800. Its totient is φ = 62952276418560.

The previous prime is 125313162368081. The next prime is 125313162368171. The reversal of 125313162368121 is 121863261313521.

125313162368121 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 1 + 3 + 1 + 623 + 6 + 8 + 12 + 1 = 666.

It is not a de Polignac number, because 125313162368121 - 2⁹ = 125313162367609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125313162368171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 846928455 + ... + 847076403.

Almost surely, 2^{125313162368121} is an apocalyptic number.

It is an amenable number.

125313162368121 is a deficient number, since it is larger than the sum of its proper divisors (108314100300679).

125313162368121 is a wasteful number, since it uses less digits than its factorization.

125313162368121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148536 (or 148533 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 125313162368121 in words is "one hundred twenty-five trillion, three hundred thirteen billion, one hundred sixty-two million, three hundred sixty-eight thousand, one hundred twenty-one".