13321013033440 has 96 divisors (see below), whose sum is σ = 35967720660480. Its totient is φ = 4567079330304.

The previous prime is 13321013033437. The next prime is 13321013033501. The reversal of 13321013033440 is 4433031012331.

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 = 13321013033399 and 13321013033408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46762479 + ... + 47046481.

It is an arithmetic number, because the mean of its divisors is an integer number (374663756880).

Almost surely, 2^{13321013033440} is an apocalyptic number.

13321013033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321013033440 is an abundant number, since it is smaller than the sum of its proper divisors (22646707627040).

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

13321013033440 is a wasteful number, since it uses less digits than its factorization.

13321013033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325904 (or 325896 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13321013033440 its reverse (4433031012331), we get a palindrome (17754044045771).

The spelling of 13321013033440 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, thirty-three thousand, four hundred forty".