120124311525513 has 20 divisors (see below), whose sum is σ = 190000545029460. Its totient is φ = 75372117034752.

The previous prime is 120124311525443. The next prime is 120124311525521. The reversal of 120124311525513 is 315525113421021.

120124311525513 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 4 + 3 + 115 + 25 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91418687161344 + 28705624364169 = 9561312^2 + 5357763^2 .

It is not a de Polignac number, because 120124311525513 - 2¹⁷ = 120124311394441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120124311525913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43618121908 + ... + 43618124661.

It is an arithmetic number, because the mean of its divisors is an integer number (9500027251473).

Almost surely, 2^{120124311525513} is an apocalyptic number.

It is an amenable number.

120124311525513 is a deficient number, since it is larger than the sum of its proper divisors (69876233503947).

120124311525513 is an equidigital number, since it uses as much as digits as its factorization.

120124311525513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87236246598 (or 87236246589 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 120124311525513 its reverse (315525113421021), we get a palindrome (435649424946534).

The spelling of 120124311525513 in words is "one hundred twenty trillion, one hundred twenty-four billion, three hundred eleven million, five hundred twenty-five thousand, five hundred thirteen".