135120031 has 2 divisors, whose sum is σ = 135120032. Its totient is φ = 135120030.

The previous prime is 135120017. The next prime is 135120043. The reversal of 135120031 is 130021531.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 135120031 - 2¹⁵ = 135087263 is a prime.

It is a super-2 number, since 2×135120031² = 36514845554881922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135119987 and 135120014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135120071) 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, 67560015 + 67560016.

It is an arithmetic number, because the mean of its divisors is an integer number (67560016).

Almost surely, 2^135120031 is an apocalyptic number.

135120031 is a deficient number, since it is larger than the sum of its proper divisors (1).

135120031 is an equidigital number, since it uses as much as digits as its factorization.

135120031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 135120031 is about 11624.1142028113. The cubic root of 135120031 is about 513.1447760936.

Adding to 135120031 its reverse (130021531), we get a palindrome (265141562).

The spelling of 135120031 in words is "one hundred thirty-five million, one hundred twenty thousand, thirty-one".