103113100000 has 144 divisors (see below), whose sum is σ = 254247789600. Its totient is φ = 41162560000.

The previous prime is 103113099979. The next prime is 103113100039. The reversal of 103113100000 is 1311301.

It is a super-2 number, since 2×103113100000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 103113100000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83899386 + ... + 83900614.

It is an arithmetic number, because the mean of its divisors is an integer number (1765609650).

Almost surely, 2^103113100000 is an apocalyptic number.

103113100000 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 103113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127123894800).

103113100000 is an abundant number, since it is smaller than the sum of its proper divisors (151134689600).

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

103113100000 is an frugal number, since it uses more digits than its factorization.

103113100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 103113100000 its reverse (1311301), we get a palindrome (103114411301).

The spelling of 103113100000 in words is "one hundred three billion, one hundred thirteen million, one hundred thousand".