103331320311000 has 256 divisors, whose sum is σ = 323404255549440. Its totient is φ = 27468695654400.

The previous prime is 103331320310947. The next prime is 103331320311029. The reversal of 103331320311000 is 113023133301.

It is a super-2 number, since 2×103331320311000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 4048544239 + ... + 4048569761.

It is an arithmetic number, because the mean of its divisors is an integer number (1263297873240).

Almost surely, 2^{103331320311000} is an apocalyptic number.

103331320311000 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 103331320311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161702127774720).

103331320311000 is an abundant number, since it is smaller than the sum of its proper divisors (220072935238440).

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

103331320311000 is a wasteful number, since it uses less digits than its factorization.

103331320311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29723 (or 29709 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103331320311000 its reverse (113023133301), we get a palindrome (103444343444301).

The spelling of 103331320311000 in words is "one hundred three trillion, three hundred thirty-one billion, three hundred twenty million, three hundred eleven thousand".