123310311021100 has 144 divisors (see below), whose sum is σ = 310990998302208. Its totient is φ = 41564003880960.

The previous prime is 123310311021083. The next prime is 123310311021239. The reversal of 123310311021100 is 1120113013321.

It is a super-2 number, since 2×123310311021100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20977164 + ... + 26204236.

It is an arithmetic number, because the mean of its divisors is an integer number (2159659710432).

Almost surely, 2^{123310311021100} is an apocalyptic number.

123310311021100 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 123310311021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155495499151104).

123310311021100 is an abundant number, since it is smaller than the sum of its proper divisors (187680687281108).

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

123310311021100 is a wasteful number, since it uses less digits than its factorization.

123310311021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227664 (or 5227657 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 123310311021100 its reverse (1120113013321), we get a palindrome (124430424034421).

The spelling of 123310311021100 in words is "one hundred twenty-three trillion, three hundred ten billion, three hundred eleven million, twenty-one thousand, one hundred".