13321312213440 has 336 divisors, whose sum is σ = 53673274318464. Its totient is φ = 2768064768000.

The previous prime is 13321312213409. The next prime is 13321312213441. The reversal of 13321312213440 is 4431221312331.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13321312213398 and 13321312213407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321312213441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12354886 + ... + 13389765.

Almost surely, 2^{13321312213440} is an apocalyptic number.

13321312213440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321312213440 is an abundant number, since it is smaller than the sum of its proper divisors (40351962105024).

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

13321312213440 is a wasteful number, since it uses less digits than its factorization.

13321312213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25744696 (or 25744679 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13321312213440 its reverse (4431221312331), we get a palindrome (17752533525771).

The spelling of 13321312213440 in words is "thirteen trillion, three hundred twenty-one billion, three hundred twelve million, two hundred thirteen thousand, four hundred forty".