34124012314003 has 12 divisors (see below), whose sum is σ = 34936564531440. Its totient is φ = 33329939163696.

The previous prime is 34124012313971. The next prime is 34124012314027. The reversal of 34124012314003 is 30041321042143.

It is a happy number.

It is not a de Polignac number, because 34124012314003 - 2⁵ = 34124012313971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34124012314043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237363778 + ... + 237507496.

It is an arithmetic number, because the mean of its divisors is an integer number (2911380377620).

Almost surely, 2^{34124012314003} is an apocalyptic number.

34124012314003 is a deficient number, since it is larger than the sum of its proper divisors (812552217437).

34124012314003 is a wasteful number, since it uses less digits than its factorization.

34124012314003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272218 (or 272175 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34124012314003 its reverse (30041321042143), we get a palindrome (64165333356146).

The spelling of 34124012314003 in words is "thirty-four trillion, one hundred twenty-four billion, twelve million, three hundred fourteen thousand, three".