123113213334 has 96 divisors (see below), whose sum is σ = 278126110080. Its totient is φ = 40815721152.

The previous prime is 123113213329. The next prime is 123113213459. The reversal of 123113213334 is 433312311321.

123113213334 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 1 + 321 + 3 + 334 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 123113213298 and 123113213307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95956657 + ... + 95957939.

It is an arithmetic number, because the mean of its divisors is an integer number (2897146980).

Almost surely, 2^123113213334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123113213334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139063055040).

123113213334 is an abundant number, since it is smaller than the sum of its proper divisors (155012896746).

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

123113213334 is a wasteful number, since it uses less digits than its factorization.

123113213334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 123113213334 its reverse (433312311321), we get a palindrome (556425524655).

The spelling of 123113213334 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred thirteen thousand, three hundred thirty-four".