1034334013213 has 2 divisors, whose sum is σ = 1034334013214. Its totient is φ = 1034334013212.

The previous prime is 1034334013183. The next prime is 1034334013291. The reversal of 1034334013213 is 3123104334301.

1034334013213 is digitally balanced in base 2, 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., 1016624525284 + 17709487929 = 1008278^2 + 133077^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1034334013213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1034334013513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517167006606 + 517167006607.

It is an arithmetic number, because the mean of its divisors is an integer number (517167006607).

Almost surely, 2^{1034334013213} is an apocalyptic number.

It is an amenable number.

1034334013213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1034334013213 is an equidigital number, since it uses as much as digits as its factorization.

1034334013213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1034334013213 its reverse (3123104334301), we get a palindrome (4157438347514).

The spelling of 1034334013213 in words is "one trillion, thirty-four billion, three hundred thirty-four million, thirteen thousand, two hundred thirteen".