2133434010013 has 64 divisors (see below), whose sum is σ = 2399247866880. Its totient is φ = 1889064115200.

The previous prime is 2133434010007. The next prime is 2133434010023. The reversal of 2133434010013 is 3100104343312.

It is a cyclic number.

It is not a de Polignac number, because 2133434010013 - 2²¹ = 2133431912861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2133434010013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133434010023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316121343 + ... + 1316122963.

It is an arithmetic number, because the mean of its divisors is an integer number (37488247920).

Almost surely, 2^{2133434010013} is an apocalyptic number.

It is an amenable number.

2133434010013 is a deficient number, since it is larger than the sum of its proper divisors (265813856867).

2133434010013 is a wasteful number, since it uses less digits than its factorization.

2133434010013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2133434010013 its reverse (3100104343312), we get a palindrome (5233538353325).

The spelling of 2133434010013 in words is "two trillion, one hundred thirty-three billion, four hundred thirty-four million, ten thousand, thirteen".