40320000013313 has 16 divisors (see below), whose sum is σ = 40892137917840. Its totient is φ = 39752944148736.

The previous prime is 40320000013309. The next prime is 40320000013333. The reversal of 40320000013313 is 31331000002304.

It can be written as a sum of positive squares in 8 ways, for example, as 15938305009 + 40304061708304 = 126247^2 + 6348548^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320000013313 - 2² = 40320000013309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40320000013303) 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, 9789023 + ... + 13284011.

It is an arithmetic number, because the mean of its divisors is an integer number (2555758619865).

Almost surely, 2^{40320000013313} is an apocalyptic number.

It is an amenable number.

40320000013313 is a deficient number, since it is larger than the sum of its proper divisors (572137904527).

40320000013313 is a wasteful number, since it uses less digits than its factorization.

40320000013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495716.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 40320000013313 its reverse (31331000002304), we get a palindrome (71651000015617).

The spelling of 40320000013313 in words is "forty trillion, three hundred twenty billion, thirteen thousand, three hundred thirteen".