122135013 has 64 divisors (see below), whose sum is σ = 242995200. Its totient is φ = 58553280.

The previous prime is 122135003. The next prime is 122135051. The reversal of 122135013 is 310531221.

It is not a de Polignac number, because 122135013 - 2⁴ = 122134997 is a prime.

It is a super-2 number, since 2×122135013² = 29833922801020338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122135003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24768 + ... + 29286.

It is an arithmetic number, because the mean of its divisors is an integer number (3796800).

Almost surely, 2^122135013 is an apocalyptic number.

122135013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122135013 is a deficient number, since it is larger than the sum of its proper divisors (120860187).

122135013 is a wasteful number, since it uses less digits than its factorization.

122135013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122135013 is about 11051.4710785488. The cubic root of 122135013 is about 496.1504554080.

Adding to 122135013 its reverse (310531221), we get a palindrome (432666234).

The spelling of 122135013 in words is "one hundred twenty-two million, one hundred thirty-five thousand, thirteen".