1003113103120 has 160 divisors (see below), whose sum is σ = 2500567274880. Its totient is φ = 373110312960.

The previous prime is 1003113103093. The next prime is 1003113103129. The reversal of 1003113103120 is 213013113001.

1003113103120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1003113103094 and 1003113103103.

It is not an unprimeable number, because it can be changed into a prime (1003113103129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28599514 + ... + 28634566.

It is an arithmetic number, because the mean of its divisors is an integer number (15628545468).

Almost surely, 2^{1003113103120} is an apocalyptic number.

1003113103120 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 1003113103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250283637440).

1003113103120 is an abundant number, since it is smaller than the sum of its proper divisors (1497454171760).

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

1003113103120 is a wasteful number, since it uses less digits than its factorization.

1003113103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35433 (or 35427 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1003113103120 its reverse (213013113001), we get a palindrome (1216126216121).

The spelling of 1003113103120 in words is "one trillion, three billion, one hundred thirteen million, one hundred three thousand, one hundred twenty".