10001330310213 has 64 divisors (see below), whose sum is σ = 16248758169600. Its totient is φ = 6029595936000.

The previous prime is 10001330310149. The next prime is 10001330310221. The reversal of 10001330310213 is 31201303310001.

It is a happy number.

10001330310213 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 330 + 310 + 21 + 3 = 666.

It is not a de Polignac number, because 10001330310213 - 2⁶ = 10001330310149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001330310113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65129958 + ... + 65283336.

It is an arithmetic number, because the mean of its divisors is an integer number (253886846400).

Almost surely, 2^{10001330310213} is an apocalyptic number.

It is an amenable number.

10001330310213 is a deficient number, since it is larger than the sum of its proper divisors (6247427859387).

10001330310213 is a wasteful number, since it uses less digits than its factorization.

10001330310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154551 (or 154545 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10001330310213 its reverse (31201303310001), we get a palindrome (41202633620214).

The spelling of 10001330310213 in words is "ten trillion, one billion, three hundred thirty million, three hundred ten thousand, two hundred thirteen".