13003312213320 has 256 divisors, whose sum is σ = 45933335884800. Its totient is φ = 2903261936640.

The previous prime is 13003312213303. The next prime is 13003312213349. The reversal of 13003312213320 is 2331221330031.

13003312213320 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 2×13003312213320² (a number of 27 digits) contains 22 as substring.

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

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, 6746611 + ... + 8457149.

It is an arithmetic number, because the mean of its divisors is an integer number (179427093300).

Almost surely, 2^{13003312213320} is an apocalyptic number.

13003312213320 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 13003312213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966667942400).

13003312213320 is an abundant number, since it is smaller than the sum of its proper divisors (32930023671480).

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

13003312213320 is a wasteful number, since it uses less digits than its factorization.

13003312213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711020 (or 1711016 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13003312213320 its reverse (2331221330031), we get a palindrome (15334533543351).

The spelling of 13003312213320 in words is "thirteen trillion, three billion, three hundred twelve million, two hundred thirteen thousand, three hundred twenty".