34113413331 has 24 divisors (see below), whose sum is σ = 51674117040. Its totient is φ = 22486730112.

The previous prime is 34113413317. The next prime is 34113413339. The reversal of 34113413331 is 13331431143.

It is not a de Polignac number, because 34113413331 - 2³⁰ = 33039671507 is a prime.

It is a super-2 number, since 2×34113413331² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34113413295 and 34113413304.

It is not an unprimeable number, because it can be changed into a prime (34113413339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767050 + ... + 810303.

It is an arithmetic number, because the mean of its divisors is an integer number (2153088210).

Almost surely, 2^34113413331 is an apocalyptic number.

34113413331 is a deficient number, since it is larger than the sum of its proper divisors (17560703709).

34113413331 is an equidigital number, since it uses as much as digits as its factorization.

34113413331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577457 (or 1577445 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 34113413331 its reverse (13331431143), we get a palindrome (47444844474).

The spelling of 34113413331 in words is "thirty-four billion, one hundred thirteen million, four hundred thirteen thousand, three hundred thirty-one".