10001434303213 has 2 divisors, whose sum is σ = 10001434303214. Its totient is φ = 10001434303212.

The previous prime is 10001434303193. The next prime is 10001434303219. The reversal of 10001434303213 is 31230343410001.

10001434303213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6245985644809 + 3755448658404 = 2499197^2 + 1937898^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001434303213 - 2⁴¹ = 7802411047661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001434303219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000717151606 + 5000717151607.

It is an arithmetic number, because the mean of its divisors is an integer number (5000717151607).

Almost surely, 2^{10001434303213} is an apocalyptic number.

It is an amenable number.

10001434303213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001434303213 is an equidigital number, since it uses as much as digits as its factorization.

10001434303213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10001434303213 its reverse (31230343410001), we get a palindrome (41231777713214).

The spelling of 10001434303213 in words is "ten trillion, one billion, four hundred thirty-four million, three hundred three thousand, two hundred thirteen".