103313223102000 has 320 divisors, whose sum is σ = 356555061158400. Its totient is φ = 25657805030400.

The previous prime is 103313223101947. The next prime is 103313223102053. The reversal of 103313223102000 is 201322313301.

It is an interprime number because it is at equal distance from previous prime (103313223101947) and next prime (103313223102053).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954139 + ... + 14406138.

It is an arithmetic number, because the mean of its divisors is an integer number (1114234566120).

Almost surely, 2^{103313223102000} is an apocalyptic number.

103313223102000 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 103313223102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178277530579200).

103313223102000 is an abundant number, since it is smaller than the sum of its proper divisors (253241838056400).

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

103313223102000 is a wasteful number, since it uses less digits than its factorization.

103313223102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360381 (or 15360365 counting only the distinct ones).

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

Adding to 103313223102000 its reverse (201322313301), we get a palindrome (103514545415301).

The spelling of 103313223102000 in words is "one hundred three trillion, three hundred thirteen billion, two hundred twenty-three million, one hundred two thousand".