4034113213213 has 2 divisors, whose sum is σ = 4034113213214. Its totient is φ = 4034113213212.

The previous prime is 4034113213211. The next prime is 4034113213279. The reversal of 4034113213213 is 3123123114304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3496739181849 + 537374031364 = 1869957^2 + 733058^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034113213213 - 2¹ = 4034113213211 is a prime.

Together with 4034113213211, 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 (4034113213211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017056606606 + 2017056606607.

It is an arithmetic number, because the mean of its divisors is an integer number (2017056606607).

Almost surely, 2^{4034113213213} is an apocalyptic number.

It is an amenable number.

4034113213213 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034113213213 is an equidigital number, since it uses as much as digits as its factorization.

4034113213213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 4034113213213 its reverse (3123123114304), we get a palindrome (7157236327517).

The spelling of 4034113213213 in words is "four trillion, thirty-four billion, one hundred thirteen million, two hundred thirteen thousand, two hundred thirteen".