123013100 has 72 divisors (see below), whose sum is σ = 311646720. Its totient is φ = 41267520.

The previous prime is 123013091. The next prime is 123013127. The reversal of 123013100 is 1310321.

It is a super-2 number, since 2×123013100² = 30264445543220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31031 + ... + 34769.

Almost surely, 2^123013100 is an apocalyptic number.

123013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155823360).

123013100 is an abundant number, since it is smaller than the sum of its proper divisors (188633620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123013100 is a wasteful number, since it uses less digits than its factorization.

123013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 123013100 is about 11091.1270842958. The cubic root of 123013100 is about 497.3366381979.

Adding to 123013100 its reverse (1310321), we get a palindrome (124323421).

The spelling of 123013100 in words is "one hundred twenty-three million, thirteen thousand, one hundred".