123020321031300 has 576 divisors, whose sum is σ = 445813466112000. Its totient is φ = 25444921958400.

The previous prime is 123020321031229. The next prime is 123020321031317. The reversal of 123020321031300 is 3130123020321.

It is a super-2 number, since 2×123020321031300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25666661704 + ... + 25666666496.

It is an arithmetic number, because the mean of its divisors is an integer number (773981712000).

Almost surely, 2^{123020321031300} is an apocalyptic number.

123020321031300 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 123020321031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222906733056000).

123020321031300 is an abundant number, since it is smaller than the sum of its proper divisors (322793145080700).

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

123020321031300 is a wasteful number, since it uses less digits than its factorization.

123020321031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123020321031300 its reverse (3130123020321), we get a palindrome (126150444051621).

The spelling of 123020321031300 in words is "one hundred twenty-three trillion, twenty billion, three hundred twenty-one million, thirty-one thousand, three hundred".