6413321013 has 64 divisors (see below), whose sum is σ = 9795354624. Its totient is φ = 3728155200.

The previous prime is 6413320999. The next prime is 6413321051. The reversal of 6413321013 is 3101233146.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-6413321013 is a prime.

It is a super-2 number, since 2×6413321013² = 82261372831574692338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413321093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24385120 + ... + 24385382.

It is an arithmetic number, because the mean of its divisors is an integer number (153052416).

Almost surely, 2^6413321013 is an apocalyptic number.

It is an amenable number.

6413321013 is a deficient number, since it is larger than the sum of its proper divisors (3382033611).

6413321013 is a wasteful number, since it uses less digits than its factorization.

6413321013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 6413321013 is about 80083.2130536731. The cubic root of 6413321013 is about 1857.9227796210.

Adding to 6413321013 its reverse (3101233146), we get a palindrome (9514554159).

The spelling of 6413321013 in words is "six billion, four hundred thirteen million, three hundred twenty-one thousand, thirteen".