103113311000 has 128 divisors (see below), whose sum is σ = 277449269760. Its totient is φ = 35135856000.

The previous prime is 103113310961. The next prime is 103113311017. The reversal of 103113311000 is 113311301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095815 + ... + 1186185.

It is an arithmetic number, because the mean of its divisors is an integer number (2167572420).

Almost surely, 2^103113311000 is an apocalyptic number.

103113311000 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 103113311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138724634880).

103113311000 is an abundant number, since it is smaller than the sum of its proper divisors (174335958760).

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

103113311000 is a wasteful number, since it uses less digits than its factorization.

103113311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90562 (or 90548 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 103113311000 its reverse (113311301), we get a palindrome (103226622301).

The spelling of 103113311000 in words is "one hundred three billion, one hundred thirteen million, three hundred eleven thousand".