123313100 has 54 divisors (see below), whose sum is σ = 272365380. Its totient is φ = 48458720.

The previous prime is 123313081. The next prime is 123313109. The reversal of 123313100 is 1313321.

It is a super-2 number, since 2×123313100² = 30412241263220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123313109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 688811 + ... + 688989.

Almost surely, 2^123313100 is an apocalyptic number.

123313100 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 123313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182690).

123313100 is an abundant number, since it is smaller than the sum of its proper divisors (149052280).

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

123313100 is a wasteful number, since it uses less digits than its factorization.

123313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 123313100 is about 11104.6431730155. The cubic root of 123313100 is about 497.7406056529.

Adding to 123313100 its reverse (1313321), we get a palindrome (124626421).

The spelling of 123313100 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred".