103322311323000 has 1024 divisors, whose sum is σ = 425785567334400. Its totient is φ = 20195573760000.

The previous prime is 103322311322987. The next prime is 103322311323019. The reversal of 103322311323000 is 323113223301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8407700856 + ... + 8407713144.

It is an arithmetic number, because the mean of its divisors is an integer number (415806218100).

Almost surely, 2^{103322311323000} is an apocalyptic number.

103322311323000 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 103322311323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212892783667200).

103322311323000 is an abundant number, since it is smaller than the sum of its proper divisors (322463256011400).

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

103322311323000 is a wasteful number, since it uses less digits than its factorization.

103322311323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14489 (or 14475 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103322311323000 its reverse (323113223301), we get a palindrome (103645424546301).

The spelling of 103322311323000 in words is "one hundred three trillion, three hundred twenty-two billion, three hundred eleven million, three hundred twenty-three thousand".