21213415160513 has 8 divisors (see below), whose sum is σ = 21708606348000. Its totient is φ = 20718308334528.

The previous prime is 21213415160507. The next prime is 21213415160519. The reversal of 21213415160513 is 31506151431212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21213415160507) and next prime (21213415160519).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21213415160513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21213415160519) 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, 20581448 + ... + 21587561.

It is an arithmetic number, because the mean of its divisors is an integer number (2713575793500).

Almost surely, 2^{21213415160513} is an apocalyptic number.

It is an amenable number.

21213415160513 is a deficient number, since it is larger than the sum of its proper divisors (495191187487).

21213415160513 is a wasteful number, since it uses less digits than its factorization.

21213415160513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42180751.

The product of its (nonzero) digits is 21600, while the sum is 35.

Adding to 21213415160513 its reverse (31506151431212), we get a palindrome (52719566591725).

The spelling of 21213415160513 in words is "twenty-one trillion, two hundred thirteen billion, four hundred fifteen million, one hundred sixty thousand, five hundred thirteen".