213020320000113 has 48 divisors (see below), whose sum is σ = 321427489593600. Its totient is φ = 135808354805760.

The previous prime is 213020320000091. The next prime is 213020320000151. The reversal of 213020320000113 is 311000023020312.

213020320000113 is a `hidden beast` number, since 213 + 0 + 20 + 320 + 0 + 0 + 0 + 113 = 666.

It is not a de Polignac number, because 213020320000113 - 2⁸ = 213020319999857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213020320000153) 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, 105902968 + ... + 107895686.

It is an arithmetic number, because the mean of its divisors is an integer number (6696406033200).

Almost surely, 2^{213020320000113} is an apocalyptic number.

It is an amenable number.

213020320000113 is a deficient number, since it is larger than the sum of its proper divisors (108407169593487).

213020320000113 is a wasteful number, since it uses less digits than its factorization.

213020320000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998262 (or 1998259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213020320000113 its reverse (311000023020312), we get a palindrome (524020343020425).

The spelling of 213020320000113 in words is "two hundred thirteen trillion, twenty billion, three hundred twenty million, one hundred thirteen", and thus it is an aban number.