34011344133 has 36 divisors (see below), whose sum is σ = 53473325412. Its totient is φ = 20821432320.

The previous prime is 34011344119. The next prime is 34011344141. The reversal of 34011344133 is 33144311043.

It can be written as a sum of positive squares in 6 ways, for example, as 20177350209 + 13833993924 = 142047^2 + 117618^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34011344133 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34011344097 and 34011344106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34011344153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235623 + ... + 351483.

Almost surely, 2^34011344133 is an apocalyptic number.

It is an amenable number.

34011344133 is a deficient number, since it is larger than the sum of its proper divisors (19461981279).

34011344133 is a wasteful number, since it uses less digits than its factorization.

34011344133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116086 (or 116070 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34011344133 its reverse (33144311043), we get a palindrome (67155655176).

The spelling of 34011344133 in words is "thirty-four billion, eleven million, three hundred forty-four thousand, one hundred thirty-three".