103311103000 has 256 divisors, whose sum is σ = 284744678400. Its totient is φ = 34346880000.

The previous prime is 103311102991. The next prime is 103311103009. The reversal of 103311103000 is 301113301.

It is a happy number.

103311103000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103311102991) and next prime (103311103009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103311103009) 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, 51371995 + ... + 51374005.

It is an arithmetic number, because the mean of its divisors is an integer number (1112283900).

Almost surely, 2^103311103000 is an apocalyptic number.

103311103000 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 103311103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142372339200).

103311103000 is an abundant number, since it is smaller than the sum of its proper divisors (181433575400).

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

103311103000 is a wasteful number, since it uses less digits than its factorization.

103311103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 103311103000 its reverse (301113301), we get a palindrome (103612216301).

The spelling of 103311103000 in words is "one hundred three billion, three hundred eleven million, one hundred three thousand".