120824131 has 2 divisors, whose sum is σ = 120824132. Its totient is φ = 120824130.

The previous prime is 120824113. The next prime is 120824141. The reversal of 120824131 is 131428021.

It is a happy number.

Together with previous prime (120824113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (131428021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120824131 - 2⁷ = 120824003 is a prime.

It is a super-2 number, since 2×120824131² = 29196941263810322, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (120824111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60412065 + 60412066.

It is an arithmetic number, because the mean of its divisors is an integer number (60412066).

Almost surely, 2^120824131 is an apocalyptic number.

120824131 is a deficient number, since it is larger than the sum of its proper divisors (1).

120824131 is an equidigital number, since it uses as much as digits as its factorization.

120824131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 120824131 is about 10992.0030476706. The cubic root of 120824131 is about 494.3689963273.

The spelling of 120824131 in words is "one hundred twenty million, eight hundred twenty-four thousand, one hundred thirty-one".