13300103220030 has 288 divisors, whose sum is σ = 39066014988000. Its totient is φ = 3134794037760.

The previous prime is 13300103220023. The next prime is 13300103220083. The reversal of 13300103220030 is 3002230100331.

13300103220030 is a `hidden beast` number, since 1 + 3 + 300 + 10 + 322 + 0 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13300103219985 and 13300103220012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 575775421 + ... + 575798519.

It is an arithmetic number, because the mean of its divisors is an integer number (135645885375).

Almost surely, 2^{13300103220030} is an apocalyptic number.

13300103220030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300103220030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533007494000).

13300103220030 is an abundant number, since it is smaller than the sum of its proper divisors (25765911767970).

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

13300103220030 is a wasteful number, since it uses less digits than its factorization.

13300103220030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24600 (or 24586 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300103220030 its reverse (3002230100331), we get a palindrome (16302333320361).

The spelling of 13300103220030 in words is "thirteen trillion, three hundred billion, one hundred three million, two hundred twenty thousand, thirty".