103312102344000 has 448 divisors, whose sum is σ = 372463627041792. Its totient is φ = 25024182528000.

The previous prime is 103312102343999. The next prime is 103312102344001. The reversal of 103312102344000 is 443201213301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103312102343999) and next prime (103312102344001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312102344001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313203159 + ... + 313532841.

Almost surely, 2^{103312102344000} is an apocalyptic number.

103312102344000 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 103312102344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186231813520896).

103312102344000 is an abundant number, since it is smaller than the sum of its proper divisors (269151524697792).

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

103312102344000 is a wasteful number, since it uses less digits than its factorization.

103312102344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330911 (or 330891 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103312102344000 its reverse (443201213301), we get a palindrome (103755303557301).

The spelling of 103312102344000 in words is "one hundred three trillion, three hundred twelve billion, one hundred two million, three hundred forty-four thousand".