10111143412133 has 16 divisors (see below), whose sum is σ = 10177481072640. Its totient is φ = 10045042812144.

The previous prime is 10111143412109. The next prime is 10111143412141. The reversal of 10111143412133 is 33121434111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10111143412133 - 2²⁸ = 10110874976677 is a prime.

It is a super-2 number, since 2×10111143412133² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111143412033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288188810 + ... + 288223892.

It is an arithmetic number, because the mean of its divisors is an integer number (636092567040).

Almost surely, 2^{10111143412133} is an apocalyptic number.

It is an amenable number.

10111143412133 is a deficient number, since it is larger than the sum of its proper divisors (66337660507).

10111143412133 is a wasteful number, since it uses less digits than its factorization.

10111143412133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38408.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 10111143412133 its reverse (33121434111101), we get a palindrome (43232577523234).

The spelling of 10111143412133 in words is "ten trillion, one hundred eleven billion, one hundred forty-three million, four hundred twelve thousand, one hundred thirty-three".