103415303133312 has 128 divisors (see below), whose sum is σ = 276910078420800. Its totient is φ = 34195148636160.

The previous prime is 103415303133253. The next prime is 103415303133367. The reversal of 103415303133312 is 213331303514301.

It is a happy number.

103415303133312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21609739 + ... + 25957877.

Almost surely, 2^{103415303133312} is an apocalyptic number.

103415303133312 is a gapful number since it is divisible by the number (12) 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 103415303133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138455039210400).

103415303133312 is an abundant number, since it is smaller than the sum of its proper divisors (173494775287488).

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

103415303133312 is a wasteful number, since it uses less digits than its factorization.

103415303133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348654 (or 4348642 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 103415303133312 its reverse (213331303514301), we get a palindrome (316746606647613).

The spelling of 103415303133312 in words is "one hundred three trillion, four hundred fifteen billion, three hundred three million, one hundred thirty-three thousand, three hundred twelve".