34124201313 has 32 divisors (see below), whose sum is σ = 48247194240. Its totient is φ = 21415349760.

The previous prime is 34124201291. The next prime is 34124201317. The reversal of 34124201313 is 31310242143.

It is a happy number.

It is not a de Polignac number, because 34124201313 - 2⁵ = 34124201281 is a prime.

It is a super-3 number, since 3×34124201313³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34124201317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9996595 + ... + 10000007.

It is an arithmetic number, because the mean of its divisors is an integer number (1507724820).

Almost surely, 2^34124201313 is an apocalyptic number.

It is an amenable number.

34124201313 is a deficient number, since it is larger than the sum of its proper divisors (14122992927).

34124201313 is a wasteful number, since it uses less digits than its factorization.

34124201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34124201313 its reverse (31310242143), we get a palindrome (65434443456).

The spelling of 34124201313 in words is "thirty-four billion, one hundred twenty-four million, two hundred one thousand, three hundred thirteen".