123213310113300 has 288 divisors, whose sum is σ = 397419848751744. Its totient is φ = 29219334144000.

The previous prime is 123213310113263. The next prime is 123213310113323. The reversal of 123213310113300 is 3311013312321.

123213310113300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57896080 + ... + 59986520.

It is an arithmetic number, because the mean of its divisors is an integer number (1379930030388).

Almost surely, 2^{123213310113300} is an apocalyptic number.

123213310113300 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 123213310113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198709924375872).

123213310113300 is an abundant number, since it is smaller than the sum of its proper divisors (274206538638444).

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

123213310113300 is a wasteful number, since it uses less digits than its factorization.

123213310113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090859 (or 2090852 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123213310113300 its reverse (3311013312321), we get a palindrome (126524323425621).

The spelling of 123213310113300 in words is "one hundred twenty-three trillion, two hundred thirteen billion, three hundred ten million, one hundred thirteen thousand, three hundred".