10132120213 has 2 divisors, whose sum is σ = 10132120214. Its totient is φ = 10132120212.

The previous prime is 10132120211. The next prime is 10132120217. The reversal of 10132120213 is 31202123101.

10132120213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7631420164 + 2500700049 = 87358^2 + 50007^2 .

It is an emirp because it is prime and its reverse (31202123101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10132120213 - 2¹ = 10132120211 is a prime.

Together with 10132120211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10132120211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066060106 + 5066060107.

It is an arithmetic number, because the mean of its divisors is an integer number (5066060107).

Almost surely, 2^10132120213 is an apocalyptic number.

It is an amenable number.

10132120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10132120213 is an equidigital number, since it uses as much as digits as its factorization.

10132120213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10132120213 its reverse (31202123101), we get a palindrome (41334243314).

The spelling of 10132120213 in words is "ten billion, one hundred thirty-two million, one hundred twenty thousand, two hundred thirteen".