123310013328 has 60 divisors (see below), whose sum is σ = 348150773100. Its totient is φ = 40739586048.

The previous prime is 123310013297. The next prime is 123310013329. The reversal of 123310013328 is 823310013321.

123310013328 is a `hidden beast` number, since 1 + 2 + 331 + 0 + 0 + 1 + 3 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37866046464 + 85443966864 = 194592^2 + 292308^2 .

It is not an unprimeable number, because it can be changed into a prime (123310013329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3772753 + ... + 3805296.

It is an arithmetic number, because the mean of its divisors is an integer number (5802512885).

Almost surely, 2^123310013328 is an apocalyptic number.

123310013328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123310013328 is an abundant number, since it is smaller than the sum of its proper divisors (224840759772).

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

123310013328 is a wasteful number, since it uses less digits than its factorization.

123310013328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578176 (or 7578167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 123310013328 its reverse (823310013321), we get a palindrome (946620026649).

The spelling of 123310013328 in words is "one hundred twenty-three billion, three hundred ten million, thirteen thousand, three hundred twenty-eight".