123032013 has 16 divisors (see below), whose sum is σ = 177124416. Its totient is φ = 75513600.

The previous prime is 123031981. The next prime is 123032017. The reversal of 123032013 is 310230321.

It is not a de Polignac number, because 123032013 - 2⁵ = 123031981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123031983 and 123032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123032017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11706 + ... + 19572.

It is an arithmetic number, because the mean of its divisors is an integer number (11070276).

Almost surely, 2^123032013 is an apocalyptic number.

123032013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123032013 is a deficient number, since it is larger than the sum of its proper divisors (54092403).

123032013 is a wasteful number, since it uses less digits than its factorization.

123032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 123032013 is about 11091.9796700138. The cubic root of 123032013 is about 497.3621250385.

Adding to 123032013 its reverse (310230321), we get a palindrome (433262334).

The spelling of 123032013 in words is "one hundred twenty-three million, thirty-two thousand, thirteen".