133434401324033 has 32 divisors (see below), whose sum is σ = 136639741946400. Its totient is φ = 130256499050496.

The previous prime is 133434401324027. The next prime is 133434401324057. The reversal of 133434401324033 is 330423104434331.

It can be written as a sum of positive squares in 16 ways, for example, as 55198837286464 + 78235564037569 = 7429592^2 + 8845087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-133434401324033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133434401324023) 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, 27862683203 + ... + 27862687991.

It is an arithmetic number, because the mean of its divisors is an integer number (4269991935825).

Almost surely, 2^{133434401324033} is an apocalyptic number.

It is an amenable number.

133434401324033 is a deficient number, since it is larger than the sum of its proper divisors (3205340622367).

133434401324033 is a wasteful number, since it uses less digits than its factorization.

133434401324033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261.

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 133434401324033 its reverse (330423104434331), we get a palindrome (463857505758364).

The spelling of 133434401324033 in words is "one hundred thirty-three trillion, four hundred thirty-four billion, four hundred one million, three hundred twenty-four thousand, thirty-three".