123133123113 has 64 divisors (see below), whose sum is σ = 233400932352. Its totient is φ = 55571604480.

The previous prime is 123133123027. The next prime is 123133123163. The reversal of 123133123113 is 311321331321.

It is not a de Polignac number, because 123133123113 - 2⁹ = 123133122601 is a prime.

It is a super-2 number, since 2×123133123113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123133123163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1154931 + ... + 1257032.

It is an arithmetic number, because the mean of its divisors is an integer number (3646889568).

Almost surely, 2^123133123113 is an apocalyptic number.

123133123113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123133123113 is a deficient number, since it is larger than the sum of its proper divisors (110267809239).

123133123113 is a wasteful number, since it uses less digits than its factorization.

123133123113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412014.

The product of its digits is 972, while the sum is 24.

Adding to 123133123113 its reverse (311321331321), we get a palindrome (434454454434).

The spelling of 123133123113 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred thirteen".