34433113131431 has 12 divisors (see below), whose sum is σ = 40197389839200. Its totient is φ = 29409064584480.

The previous prime is 34433113131427. The next prime is 34433113131437. The reversal of 34433113131431 is 13413131133443.

It is not a de Polignac number, because 34433113131431 - 2² = 34433113131427 is a prime.

It is a super-2 number, since 2×34433113131431² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34433113131391 and 34433113131400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34433113131437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1250371631 + ... + 1250399168.

It is an arithmetic number, because the mean of its divisors is an integer number (3349782486600).

Almost surely, 2^{34433113131431} is an apocalyptic number.

34433113131431 is a deficient number, since it is larger than the sum of its proper divisors (5764276707769).

34433113131431 is a wasteful number, since it uses less digits than its factorization.

34433113131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500771094 (or 2500771087 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

Adding to 34433113131431 its reverse (13413131133443), we get a palindrome (47846244264874).

The spelling of 34433113131431 in words is "thirty-four trillion, four hundred thirty-three billion, one hundred thirteen million, one hundred thirty-one thousand, four hundred thirty-one".