13021320310040 has 64 divisors (see below), whose sum is σ = 33494667298560. Its totient is φ = 4462949715840.

The previous prime is 13021320310021. The next prime is 13021320310049. The reversal of 13021320310040 is 4001302312031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13021320309994 and 13021320310021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13021320310049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6994562 + ... + 8658321.

It is an arithmetic number, because the mean of its divisors is an integer number (523354176540).

Almost surely, 2^{13021320310040} is an apocalyptic number.

13021320310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021320310040 is an abundant number, since it is smaller than the sum of its proper divisors (20473346988520).

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

13021320310040 is a wasteful number, since it uses less digits than its factorization.

13021320310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15655872 (or 15655868 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13021320310040 its reverse (4001302312031), we get a palindrome (17022622622071).

The spelling of 13021320310040 in words is "thirteen trillion, twenty-one billion, three hundred twenty million, three hundred ten thousand, forty".