123101313033020 has 96 divisors (see below), whose sum is σ = 296939906995200. Its totient is φ = 41992359552000.

The previous prime is 123101313033011. The next prime is 123101313033031. The reversal of 123101313033020 is 20330313101321.

It is a super-2 number, since 2×123101313033020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 814857332 + ... + 815008388.

It is an arithmetic number, because the mean of its divisors is an integer number (3093124031200).

Almost surely, 2^{123101313033020} is an apocalyptic number.

123101313033020 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 123101313033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148469953497600).

123101313033020 is an abundant number, since it is smaller than the sum of its proper divisors (173838593962180).

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

123101313033020 is a wasteful number, since it uses less digits than its factorization.

123101313033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180523 (or 180521 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123101313033020 its reverse (20330313101321), we get a palindrome (143431626134341).

The spelling of 123101313033020 in words is "one hundred twenty-three trillion, one hundred one billion, three hundred thirteen million, thirty-three thousand, twenty".