103340013024000 has 288 divisors, whose sum is σ = 343948821705216. Its totient is φ = 27500738457600.

The previous prime is 103340013023903. The next prime is 103340013024011. The reversal of 103340013024000 is 420310043301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45646807 + ... + 47857193.

It is an arithmetic number, because the mean of its divisors is an integer number (1194266742032).

Almost surely, 2^{103340013024000} is an apocalyptic number.

103340013024000 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 103340013024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171974410852608).

103340013024000 is an abundant number, since it is smaller than the sum of its proper divisors (240608808681216).

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

103340013024000 is an equidigital number, since it uses as much as digits as its factorization.

103340013024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210908 (or 2210884 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 103340013024000 its reverse (420310043301), we get a palindrome (103760323067301).

The spelling of 103340013024000 in words is "one hundred three trillion, three hundred forty billion, thirteen million, twenty-four thousand".