123330343343130 has 512 divisors, whose sum is σ = 431710730035200. Its totient is φ = 24272852428800.

The previous prime is 123330343343071. The next prime is 123330343343189. The reversal of 123330343343130 is 31343343033321.

123330343343130 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 0 + 3 + 4 + 334 + 313 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123330343343071) and next prime (123330343343189).

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 255 ways as a sum of consecutive naturals, for example, 1893250360 + ... + 1893315500.

It is an arithmetic number, because the mean of its divisors is an integer number (843185019600).

Almost surely, 2^{123330343343130} is an apocalyptic number.

123330343343130 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 123330343343130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215855365017600).

123330343343130 is an abundant number, since it is smaller than the sum of its proper divisors (308380386692070).

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

123330343343130 is a wasteful number, since it uses less digits than its factorization.

123330343343130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69987 (or 69981 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

Adding to 123330343343130 its reverse (31343343033321), we get a palindrome (154673686376451).

The spelling of 123330343343130 in words is "one hundred twenty-three trillion, three hundred thirty billion, three hundred forty-three million, three hundred forty-three thousand, one hundred thirty".