123314332004010 has 384 divisors, whose sum is σ = 405075486816000. Its totient is φ = 26524990550016.

The previous prime is 123314332003979. The next prime is 123314332004053. The reversal of 123314332004010 is 10400233413321.

It is a happy number.

123314332004010 is a `hidden beast` number, since 1 + 2 + 3 + 314 + 332 + 0 + 0 + 4 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2251096801 + ... + 2251151579.

It is an arithmetic number, because the mean of its divisors is an integer number (1054884080250).

Almost surely, 2^{123314332004010} is an apocalyptic number.

123314332004010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123314332004010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202537743408000).

123314332004010 is an abundant number, since it is smaller than the sum of its proper divisors (281761154811990).

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

123314332004010 is a wasteful number, since it uses less digits than its factorization.

123314332004010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64835 (or 64822 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 123314332004010 its reverse (10400233413321), we get a palindrome (133714565417331).

The spelling of 123314332004010 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-two million, four thousand, ten".