13003103100000 has 576 divisors, whose sum is σ = 46575935074368. Its totient is φ = 3156848640000.

The previous prime is 13003103099947. The next prime is 13003103100083. The reversal of 13003103100000 is 130130031.

13003103100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13003103100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284677164 + ... + 284722836.

It is an arithmetic number, because the mean of its divisors is an integer number (80860998393).

Almost surely, 2^{13003103100000} is an apocalyptic number.

13003103100000 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 13003103100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23287967537184).

13003103100000 is an abundant number, since it is smaller than the sum of its proper divisors (33572831974368).

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

13003103100000 is an equidigital number, since it uses as much as digits as its factorization.

13003103100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45797 (or 45769 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13003103100000 its reverse (130130031), we get a palindrome (13003233230031).

The spelling of 13003103100000 in words is "thirteen trillion, three billion, one hundred three million, one hundred thousand".