4133213334001 has 8 divisors (see below), whose sum is σ = 4146874361000. Its totient is φ = 4119562696320.

The previous prime is 4133213333993. The next prime is 4133213334017. The reversal of 4133213334001 is 1004333123314.

It can be written as a sum of positive squares in 4 ways, for example, as 216471520225 + 3916741813776 = 465265^2 + 1979076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4133213334001 - 2³ = 4133213333993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4133213334031) 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 7 ways as a sum of consecutive naturals, for example, 1799946 + ... + 3392083.

It is an arithmetic number, because the mean of its divisors is an integer number (518359295125).

Almost surely, 2^{4133213334001} is an apocalyptic number.

It is an amenable number.

4133213334001 is a deficient number, since it is larger than the sum of its proper divisors (13661026999).

4133213334001 is a wasteful number, since it uses less digits than its factorization.

4133213334001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194659.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 4133213334001 its reverse (1004333123314), we get a palindrome (5137546457315).

The spelling of 4133213334001 in words is "four trillion, one hundred thirty-three billion, two hundred thirteen million, three hundred thirty-four thousand, one".