103111313010000 has 200 divisors, whose sum is σ = 333518859051840. Its totient is φ = 27441681408000.

The previous prime is 103111313009983. The next prime is 103111313010029. The reversal of 103111313010000 is 10313111301.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11673456 + ... + 18506544.

Almost surely, 2^{103111313010000} is an apocalyptic number.

103111313010000 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 103111313010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166759429525920).

103111313010000 is an abundant number, since it is smaller than the sum of its proper divisors (230407546041840).

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

103111313010000 is an equidigital number, since it uses as much as digits as its factorization.

103111313010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6833623 (or 6833602 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 103111313010000 its reverse (10313111301), we get a palindrome (103121626121301).

The spelling of 103111313010000 in words is "one hundred three trillion, one hundred eleven billion, three hundred thirteen million, ten thousand".