213021302303313 has 48 divisors (see below), whose sum is σ = 360266930150400. Its totient is φ = 118745723266560.

The previous prime is 213021302303297. The next prime is 213021302303317. The reversal of 213021302303313 is 313303203120312.

213021302303313 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 21 + 302 + 3 + 0 + 331 + 3 = 666.

213021302303313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213021302303313 - 2⁴ = 213021302303297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213021302303317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21942853 + ... + 30125261.

It is an arithmetic number, because the mean of its divisors is an integer number (7505561044800).

Almost surely, 2^{213021302303313} is an apocalyptic number.

It is an amenable number.

213021302303313 is a deficient number, since it is larger than the sum of its proper divisors (147245627847087).

213021302303313 is a wasteful number, since it uses less digits than its factorization.

213021302303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192542 (or 8192539 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 213021302303313 its reverse (313303203120312), we get a palindrome (526324505423625).

The spelling of 213021302303313 in words is "two hundred thirteen trillion, twenty-one billion, three hundred two million, three hundred three thousand, three hundred thirteen".