123002113 has 8 divisors (see below), whose sum is σ = 132803048. Its totient is φ = 113249664.

The previous prime is 123002107. The next prime is 123002119. The reversal of 123002113 is 311200321.

It is an interprime number because it is at equal distance from previous prime (123002107) and next prime (123002119).

It can be written as a sum of positive squares in 4 ways, for example, as 28387584 + 94614529 = 5328^2 + 9727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123002113 - 2⁵ = 123002081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123002093 and 123002102.

It is not an unprimeable number, because it can be changed into a prime (123002119) 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 in 7 ways as a sum of consecutive naturals, for example, 6756 + ... + 17077.

It is an arithmetic number, because the mean of its divisors is an integer number (16600381).

Almost surely, 2^123002113 is an apocalyptic number.

123002113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123002113 is a deficient number, since it is larger than the sum of its proper divisors (9800935).

123002113 is a wasteful number, since it uses less digits than its factorization.

123002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123002113 is about 11090.6317673972. The cubic root of 123002113 is about 497.3218311019.

Adding to 123002113 its reverse (311200321), we get a palindrome (434202434).

The spelling of 123002113 in words is "one hundred twenty-three million, two thousand, one hundred thirteen".