33134440001 has 32 divisors (see below), whose sum is σ = 36596720160. Its totient is φ = 29813299200.

The previous prime is 33134439907. The next prime is 33134440007. The reversal of 33134440001 is 10004443133.

It can be written as a sum of positive squares in 16 ways, for example, as 30406989376 + 2727450625 = 174376^2 + 52225^2 .

It is a cyclic number.

It is not a de Polignac number, because 33134440001 - 2¹⁴ = 33134423617 is a prime.

It is a super-2 number, since 2×33134440001² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33134440007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71874911 + ... + 71875371.

It is an arithmetic number, because the mean of its divisors is an integer number (1143647505).

Almost surely, 2^33134440001 is an apocalyptic number.

It is an amenable number.

33134440001 is a deficient number, since it is larger than the sum of its proper divisors (3462280159).

33134440001 is a wasteful number, since it uses less digits than its factorization.

33134440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 33134440001 its reverse (10004443133), we get a palindrome (43138883134).

The spelling of 33134440001 in words is "thirty-three billion, one hundred thirty-four million, four hundred forty thousand, one".