34001004443213 has 8 divisors (see below), whose sum is σ = 34664090185728. Its totient is φ = 33338717121424.

The previous prime is 34001004443089. The next prime is 34001004443327. The reversal of 34001004443213 is 31234440010043.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34001004443213 - 2²⁶ = 34000937334349 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001004143213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199519181 + ... + 199689522.

It is an arithmetic number, because the mean of its divisors is an integer number (4333011273216).

Almost surely, 2^{34001004443213} is an apocalyptic number.

It is an amenable number.

34001004443213 is a deficient number, since it is larger than the sum of its proper divisors (663085742515).

34001004443213 is a wasteful number, since it uses less digits than its factorization.

34001004443213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399210363.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 34001004443213 its reverse (31234440010043), we get a palindrome (65235444453256).

The spelling of 34001004443213 in words is "thirty-four trillion, one billion, four million, four hundred forty-three thousand, two hundred thirteen".