103312120023000 has 768 divisors, whose sum is σ = 413272098570240. Its totient is φ = 22779304704000.

The previous prime is 103312120022989. The next prime is 103312120023043. The reversal of 103312120023000 is 320021213301.

103312120023000 is a `hidden beast` number, since 1 + 0 + 3 + 312 + 120 + 0 + 230 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 611204497 + ... + 611373503.

It is an arithmetic number, because the mean of its divisors is an integer number (538114711680).

Almost surely, 2^{103312120023000} is an apocalyptic number.

103312120023000 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 103312120023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206636049285120).

103312120023000 is an abundant number, since it is smaller than the sum of its proper divisors (309959978547240).

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

103312120023000 is a wasteful number, since it uses less digits than its factorization.

103312120023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169385 (or 169368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103312120023000 its reverse (320021213301), we get a palindrome (103632141236301).

The spelling of 103312120023000 in words is "one hundred three trillion, three hundred twelve billion, one hundred twenty million, twenty-three thousand".