113441242144311 has 48 divisors (see below), whose sum is σ = 179099543301120. Its totient is φ = 68881015630080.

The previous prime is 113441242144301. The next prime is 113441242144331.

113441242144311 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 1 + 2 + 4 + 214 + 431 + 1 = 666.

113441242144311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113441242144311 - 2¹⁰ = 113441242143287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113441242144301) 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, 205584900 + ... + 206135958.

It is an arithmetic number, because the mean of its divisors is an integer number (3731240485440).

Almost surely, 2^{113441242144311} is an apocalyptic number.

113441242144311 is a deficient number, since it is larger than the sum of its proper divisors (65658301156809).

113441242144311 is a wasteful number, since it uses less digits than its factorization.

113441242144311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594516 (or 594513 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 113441242144311 in words is "one hundred thirteen trillion, four hundred forty-one billion, two hundred forty-two million, one hundred forty-four thousand, three hundred eleven".