10121032013 has 2 divisors, whose sum is σ = 10121032014. Its totient is φ = 10121032012.

The previous prime is 10121032007. The next prime is 10121032027. The reversal of 10121032013 is 31023012101.

It is an a-pointer prime, because the next prime (10121032027) can be obtained adding 10121032013 to its sum of digits (14).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5924842729 + 4196189284 = 76973^2 + 64778^2 .

It is an emirp because it is prime and its reverse (31023012101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121032013 - 2¹⁶ = 10120966477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121032213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060516006 + 5060516007.

It is an arithmetic number, because the mean of its divisors is an integer number (5060516007).

Almost surely, 2^10121032013 is an apocalyptic number.

It is an amenable number.

10121032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121032013 is an equidigital number, since it uses as much as digits as its factorization.

10121032013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10121032013 its reverse (31023012101), we get a palindrome (41144044114).

The spelling of 10121032013 in words is "ten billion, one hundred twenty-one million, thirty-two thousand, thirteen".