13321221030013 has 6 divisors (see below), whose sum is σ = 14424754133274. Its totient is φ = 12296511719856.

The previous prime is 13321221030011. The next prime is 13321221030031. The reversal of 13321221030013 is 31003012212331.

13321221030013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 780259522329 + 12540961507684 = 883323^2 + 3541322^2 .

It is not a de Polignac number, because 13321221030013 - 2¹ = 13321221030011 is a prime.

It is a super-2 number, since 2×13321221030013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321221030011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39411896370 + ... + 39411896707.

It is an arithmetic number, because the mean of its divisors is an integer number (2404125688879).

Almost surely, 2^{13321221030013} is an apocalyptic number.

13321221030013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13321221030013 is a deficient number, since it is larger than the sum of its proper divisors (1103533103261).

13321221030013 is an equidigital number, since it uses as much as digits as its factorization.

13321221030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78823793103 (or 78823793090 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13321221030013 its reverse (31003012212331), we get a palindrome (44324233242344).

The spelling of 13321221030013 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty-one million, thirty thousand, thirteen".