123313210100 has 36 divisors (see below), whose sum is σ = 267605833068. Its totient is φ = 49322304000.

The previous prime is 123313210093. The next prime is 123313210103. The reversal of 123313210100 is 1012313321.

It can be written as a sum of positive squares in 6 ways, for example, as 5167021924 + 118146188176 = 71882^2 + 343724^2 .

It is a super-2 number, since 2×123313210100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457260 + ... + 2506940.

It is an arithmetic number, because the mean of its divisors is an integer number (7433495363).

Almost surely, 2^123313210100 is an apocalyptic number.

123313210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313210100 is an abundant number, since it is smaller than the sum of its proper divisors (144292622968).

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

123313210100 is a wasteful number, since it uses less digits than its factorization.

123313210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74516 (or 74509 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123313210100 its reverse (1012313321), we get a palindrome (124325523421).

The spelling of 123313210100 in words is "one hundred twenty-three billion, three hundred thirteen million, two hundred ten thousand, one hundred".