10211134410213 has 32 divisors (see below), whose sum is σ = 14896853959680. Its totient is φ = 6170129967360.

The previous prime is 10211134410187. The next prime is 10211134410221. The reversal of 10211134410213 is 31201443111201.

It is not a de Polignac number, because 10211134410213 - 2³⁸ = 9936256503269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211134410223) 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, 20425981 + ... + 20919917.

It is an arithmetic number, because the mean of its divisors is an integer number (465526686240).

Almost surely, 2^{10211134410213} is an apocalyptic number.

It is an amenable number.

10211134410213 is a deficient number, since it is larger than the sum of its proper divisors (4685719549467).

10211134410213 is a wasteful number, since it uses less digits than its factorization.

10211134410213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495817.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10211134410213 its reverse (31201443111201), we get a palindrome (41412577521414).

The spelling of 10211134410213 in words is "ten trillion, two hundred eleven billion, one hundred thirty-four million, four hundred ten thousand, two hundred thirteen".