34131333313 has 32 divisors (see below), whose sum is σ = 45906704640. Its totient is φ = 24559042560.

The previous prime is 34131333227. The next prime is 34131333319. The reversal of 34131333313 is 31333313143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34131333313 - 2²⁹ = 33594462401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34131333319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176608 + ... + 315361.

It is an arithmetic number, because the mean of its divisors is an integer number (1434584520).

Almost surely, 2^34131333313 is an apocalyptic number.

It is an amenable number.

34131333313 is a deficient number, since it is larger than the sum of its proper divisors (11775371327).

34131333313 is a wasteful number, since it uses less digits than its factorization.

34131333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492057.

The product of its digits is 8748, while the sum is 28.

Adding to 34131333313 its reverse (31333313143), we get a palindrome (65464646456).

The spelling of 34131333313 in words is "thirty-four billion, one hundred thirty-one million, three hundred thirty-three thousand, three hundred thirteen".