13313001422224 has 60 divisors (see below), whose sum is σ = 30006111754908. Its totient is φ = 5705397868800.

The previous prime is 13313001422221. The next prime is 13313001422249. The reversal of 13313001422224 is 42222410031331.

13313001422224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10740249581824 + 2572751840400 = 3277232^2 + 1603980^2 .

It is a super-2 number, since 2×13313001422224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13313001422192 and 13313001422201.

It is not an unprimeable number, because it can be changed into a prime (13313001422221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27308934 + ... + 27792154.

Almost surely, 2^{13313001422224} is an apocalyptic number.

13313001422224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13313001422224 is an abundant number, since it is smaller than the sum of its proper divisors (16693110332684).

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

13313001422224 is a wasteful number, since it uses less digits than its factorization.

13313001422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518384 (or 518371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13313001422224 its reverse (42222410031331), we get a palindrome (55535411453555).

The spelling of 13313001422224 in words is "thirteen trillion, three hundred thirteen billion, one million, four hundred twenty-two thousand, two hundred twenty-four".