103323313000 has 96 divisors (see below), whose sum is σ = 245449680840. Its totient is φ = 40710700800.

The previous prime is 103323312971. The next prime is 103323313003. The reversal of 103323313000 is 313323301.

It can be written as a sum of positive squares in 4 ways, for example, as 31714623396 + 71608689604 = 178086^2 + 267598^2 .

It is not an unprimeable number, because it can be changed into a prime (103323313003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4477492 + ... + 4500508.

Almost surely, 2^103323313000 is an apocalyptic number.

103323313000 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 103323313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122724840420).

103323313000 is an abundant number, since it is smaller than the sum of its proper divisors (142126367840).

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

103323313000 is an equidigital number, since it uses as much as digits as its factorization.

103323313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23172 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 103323313000 its reverse (313323301), we get a palindrome (103636636301).

It can be divided in two parts, 10332331 and 3000, that added together give a triangular number (10335331 = T₄₅₄₆).

The spelling of 103323313000 in words is "one hundred three billion, three hundred twenty-three million, three hundred thirteen thousand".