113541113121329 has 16 divisors (see below), whose sum is σ = 120453735416976. Its totient is φ = 106654471372800.

The previous prime is 113541113121283. The next prime is 113541113121367. The reversal of 113541113121329 is 923121311145311.

It can be written as a sum of positive squares in 8 ways, for example, as 1545944089600 + 111995169031729 = 1243360^2 + 10582777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113541113121329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113541113121292 and 113541113121301.

It is not an unprimeable number, because it can be changed into a prime (113541113121379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420049829 + ... + 420320045.

It is an arithmetic number, because the mean of its divisors is an integer number (7528358463561).

Almost surely, 2^{113541113121329} is an apocalyptic number.

It is an amenable number.

113541113121329 is a deficient number, since it is larger than the sum of its proper divisors (6912622295647).

113541113121329 is a wasteful number, since it uses less digits than its factorization.

113541113121329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318196.

The product of its digits is 19440, while the sum is 38.

The spelling of 113541113121329 in words is "one hundred thirteen trillion, five hundred forty-one billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred twenty-nine".