103313331000000 has 1176 divisors, whose sum is σ = 404600747606640. Its totient is φ = 24996480000000.

The previous prime is 103313330999971. The next prime is 103313331000001. The reversal of 103313331000000 is 133313301.

103313331000000 is a `hidden beast` number, since 1 + 0 + 331 + 3 + 331 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

103313331000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103313331000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103313331000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93158999446 + ... + 93159000554.

Almost surely, 2^{103313331000000} is an apocalyptic number.

103313331000000 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 103313331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202300373803320).

103313331000000 is an abundant number, since it is smaller than the sum of its proper divisors (301287416606640).

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

103313331000000 is an equidigital number, since it uses as much as digits as its factorization.

103313331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 103313331000000 its reverse (133313301), we get a palindrome (103313464313301).

The spelling of 103313331000000 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty-one million", and thus it is an aban number.