10213123132013 has 4 divisors (see below), whose sum is σ = 10213143161088. Its totient is φ = 10213103102940.

The previous prime is 10213123132007. The next prime is 10213123132033. The reversal of 10213123132013 is 31023132131201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10213123132013 - 2⁴² = 5815076620909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213123132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213123132033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9229133 + ... + 10276338.

It is an arithmetic number, because the mean of its divisors is an integer number (2553285790272).

Almost surely, 2^{10213123132013} is an apocalyptic number.

It is an amenable number.

10213123132013 is a deficient number, since it is larger than the sum of its proper divisors (20029075).

10213123132013 is an equidigital number, since it uses as much as digits as its factorization.

10213123132013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20029074.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10213123132013 its reverse (31023132131201), we get a palindrome (41236255263214).

The spelling of 10213123132013 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-two thousand, thirteen".