34442131333 has 16 divisors (see below), whose sum is σ = 36088416000. Its totient is φ = 32808455680.

The previous prime is 34442131289. The next prime is 34442131349. The reversal of 34442131333 is 33313124443.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34442131333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34442131295 and 34442131304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34442135333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13510743 + ... + 13513291.

It is an arithmetic number, because the mean of its divisors is an integer number (2255526000).

Almost surely, 2^34442131333 is an apocalyptic number.

It is an amenable number.

34442131333 is a deficient number, since it is larger than the sum of its proper divisors (1646284667).

34442131333 is a wasteful number, since it uses less digits than its factorization.

34442131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772.

The product of its digits is 31104, while the sum is 31.

Adding to 34442131333 its reverse (33313124443), we get a palindrome (67755255776).

The spelling of 34442131333 in words is "thirty-four billion, four hundred forty-two million, one hundred thirty-one thousand, three hundred thirty-three".