103111130001300 has 144 divisors (see below), whose sum is σ = 302426722117632. Its totient is φ = 27120263702400.

The previous prime is 103111130001293. The next prime is 103111130001301. The reversal of 103111130001300 is 3100031111301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103111130001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103111130001301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11703255 + ... + 18525345.

Almost surely, 2^{103111130001300} is an apocalyptic number.

103111130001300 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 103111130001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151213361058816).

103111130001300 is an abundant number, since it is smaller than the sum of its proper divisors (199315592116332).

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

103111130001300 is a wasteful number, since it uses less digits than its factorization.

103111130001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822798 (or 6822791 counting only the distinct ones).

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

Adding to 103111130001300 its reverse (3100031111301), we get a palindrome (106211161112601).

The spelling of 103111130001300 in words is "one hundred three trillion, one hundred eleven billion, one hundred thirty million, one thousand, three hundred".