10321516413361 has 8 divisors (see below), whose sum is σ = 10568921980320. Its totient is φ = 10074445860192.

The previous prime is 10321516413359. The next prime is 10321516413367. The reversal of 10321516413361 is 16331461512301.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10321516413361 - 2¹ = 10321516413359 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10321516413361.

It is not an unprimeable number, because it can be changed into a prime (10321516413367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83691091 + ... + 83814328.

It is an arithmetic number, because the mean of its divisors is an integer number (1321115247540).

Almost surely, 2^{10321516413361} is an apocalyptic number.

It is an amenable number.

10321516413361 is a deficient number, since it is larger than the sum of its proper divisors (247405566959).

10321516413361 is a wasteful number, since it uses less digits than its factorization.

10321516413361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167506895.

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 10321516413361 its reverse (16331461512301), we get a palindrome (26652977925662).

The spelling of 10321516413361 in words is "ten trillion, three hundred twenty-one billion, five hundred sixteen million, four hundred thirteen thousand, three hundred sixty-one".