123013102001020 has 144 divisors (see below), whose sum is σ = 333281154709440. Its totient is φ = 37305482480640.

The previous prime is 123013102001017. The next prime is 123013102001021. The reversal of 123013102001020 is 20100201310321.

It is a junction number, because it is equal to n+sod(n) for n = 123013102000985 and 123013102001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123013102001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97504225 + ... + 98757784.

It is an arithmetic number, because the mean of its divisors is an integer number (2314452463260).

Almost surely, 2^{123013102001020} is an apocalyptic number.

123013102001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123013102001020 is an abundant number, since it is smaller than the sum of its proper divisors (210268052708420).

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

123013102001020 is a wasteful number, since it uses less digits than its factorization.

123013102001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196262084 (or 196262071 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123013102001020 its reverse (20100201310321), we get a palindrome (143113303311341).

The spelling of 123013102001020 in words is "one hundred twenty-three trillion, thirteen billion, one hundred two million, one thousand, twenty".