123313301320320 has 128 divisors (see below), whose sum is σ = 436734608904000. Its totient is φ = 32883547014144.

The previous prime is 123313301320271. The next prime is 123313301320361. The reversal of 123313301320320 is 23023103313321.

123313301320320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 3 + 301 + 32 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 3568075930 + ... + 3568110489.

Almost surely, 2^{123313301320320} is an apocalyptic number.

123313301320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313301320320 is an abundant number, since it is smaller than the sum of its proper divisors (313421307583680).

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

123313301320320 is an equidigital number, since it uses as much as digits as its factorization.

123313301320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136186447 (or 7136186429 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 123313301320320 its reverse (23023103313321), we get a palindrome (146336404633641).

The spelling of 123313301320320 in words is "one hundred twenty-three trillion, three hundred thirteen billion, three hundred one million, three hundred twenty thousand, three hundred twenty".