13300130133312 has 448 divisors, whose sum is σ = 39766432113408. Its totient is φ = 3887751168000.

The previous prime is 13300130133293. The next prime is 13300130133331. The reversal of 13300130133312 is 21333103100331.

It is an interprime number because it is at equal distance from previous prime (13300130133293) and next prime (13300130133331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5275734612 + ... + 5275737132.

It is an arithmetic number, because the mean of its divisors is an integer number (88764357396).

Almost surely, 2^{13300130133312} is an apocalyptic number.

13300130133312 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 13300130133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19883216056704).

13300130133312 is an abundant number, since it is smaller than the sum of its proper divisors (26466301980096).

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

13300130133312 is a wasteful number, since it uses less digits than its factorization.

13300130133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13300130133312 its reverse (21333103100331), we get a palindrome (34633233233643).

The spelling of 13300130133312 in words is "thirteen trillion, three hundred billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twelve".