13201415321344 has 72 divisors (see below), whose sum is σ = 27902351691648. Its totient is φ = 6212204789760.

The previous prime is 13201415321321. The next prime is 13201415321389. The reversal of 13201415321344 is 44312351410231.

It is a super-2 number, since 2×13201415321344² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226522929 + ... + 226581199.

It is an arithmetic number, because the mean of its divisors is an integer number (387532662384).

Almost surely, 2^{13201415321344} is an apocalyptic number.

It is an amenable number.

13201415321344 is an abundant number, since it is smaller than the sum of its proper divisors (14700936370304).

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

13201415321344 is an equidigital number, since it uses as much as digits as its factorization.

13201415321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110361 (or 110347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 13201415321344 its reverse (44312351410231), we get a palindrome (57513766731575).

The spelling of 13201415321344 in words is "thirteen trillion, two hundred one billion, four hundred fifteen million, three hundred twenty-one thousand, three hundred forty-four".