11134134122319 has 48 divisors (see below), whose sum is σ = 17957227352064. Its totient is φ = 6601539009600.

The previous prime is 11134134122299. The next prime is 11134134122329. The reversal of 11134134122319 is 91322143143111.

11134134122319 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 1 + 3 + 412 + 231 + 9 = 666.

It is not a de Polignac number, because 11134134122319 - 2¹⁶ = 11134134056783 is a prime.

It is a super-2 number, since 2×11134134122319² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134134122329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5938327 + ... + 7584984.

It is an arithmetic number, because the mean of its divisors is an integer number (374108903168).

Almost surely, 2^{11134134122319} is an apocalyptic number.

11134134122319 is a deficient number, since it is larger than the sum of its proper divisors (6823093229745).

11134134122319 is a wasteful number, since it uses less digits than its factorization.

11134134122319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13523588 (or 13523585 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 11134134122319 in words is "eleven trillion, one hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred nineteen".