34001210101133 has 24 divisors (see below), whose sum is σ = 37564601289600. Its totient is φ = 30751944300000.

The previous prime is 34001210101093. The next prime is 34001210101147. The reversal of 34001210101133 is 33110101210043.

It is not a de Polignac number, because 34001210101133 - 2¹² = 34001210097037 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001210301133) 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 23 ways as a sum of consecutive naturals, for example, 277497383 + ... + 277619883.

It is an arithmetic number, because the mean of its divisors is an integer number (1565191720400).

Almost surely, 2^{34001210101133} is an apocalyptic number.

It is an amenable number.

34001210101133 is a deficient number, since it is larger than the sum of its proper divisors (3563391188467).

34001210101133 is a wasteful number, since it uses less digits than its factorization.

34001210101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134249 (or 134238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 34001210101133 its reverse (33110101210043), we get a palindrome (67111311311176).

The spelling of 34001210101133 in words is "thirty-four trillion, one billion, two hundred ten million, one hundred one thousand, one hundred thirty-three".