10013031211213 has 2 divisors, whose sum is σ = 10013031211214. Its totient is φ = 10013031211212.

The previous prime is 10013031211199. The next prime is 10013031211247. The reversal of 10013031211213 is 31211213031001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8492083717924 + 1520947493289 = 2914118^2 + 1233267^2 .

It is an emirp because it is prime and its reverse (31211213031001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10013031211213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10013031217213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006515605606 + 5006515605607.

It is an arithmetic number, because the mean of its divisors is an integer number (5006515605607).

Almost surely, 2^{10013031211213} is an apocalyptic number.

It is an amenable number.

10013031211213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013031211213 is an equidigital number, since it uses as much as digits as its factorization.

10013031211213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10013031211213 its reverse (31211213031001), we get a palindrome (41224244242214).

The spelling of 10013031211213 in words is "ten trillion, thirteen billion, thirty-one million, two hundred eleven thousand, two hundred thirteen".