123301313133000 has 128 divisors (see below), whose sum is σ = 384752033752320. Its totient is φ = 32875911129600.

The previous prime is 123301313132957. The next prime is 123301313133017. The reversal of 123301313133000 is 331313103321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19480309 + ... + 25021691.

It is an arithmetic number, because the mean of its divisors is an integer number (3005875263690).

Almost surely, 2^{123301313133000} is an apocalyptic number.

123301313133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123301313133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192376016876160).

123301313133000 is an abundant number, since it is smaller than the sum of its proper divisors (261450720619320).

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

123301313133000 is a wasteful number, since it uses less digits than its factorization.

123301313133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548824 (or 5548810 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 123301313133000 its reverse (331313103321), we get a palindrome (123632626236321).

The spelling of 123301313133000 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred thirteen million, one hundred thirty-three thousand".