103111113000 has 256 divisors, whose sum is σ = 372706813440. Its totient is φ = 23245056000.

The previous prime is 103111112999. The next prime is 103111113019. The reversal of 103111113000 is 311111301.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1499370 + ... + 1566630.

It is an arithmetic number, because the mean of its divisors is an integer number (1455885990).

Almost surely, 2^103111113000 is an apocalyptic number.

103111113000 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 103111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186353406720).

103111113000 is an abundant number, since it is smaller than the sum of its proper divisors (269595700440).

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

103111113000 is a wasteful number, since it uses less digits than its factorization.

103111113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67365 (or 67351 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 103111113000 its reverse (311111301), we get a palindrome (103422224301).

The spelling of 103111113000 in words is "one hundred three billion, one hundred eleven million, one hundred thirteen thousand".