113641146311 has 16 divisors (see below), whose sum is σ = 141692437248. Its totient is φ = 88545312000.

The previous prime is 113641146277. The next prime is 113641146337.

113641146311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 113641146311 - 2¹⁰ = 113641145287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113641146391) 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, 1265036 + ... + 1351886.

It is an arithmetic number, because the mean of its divisors is an integer number (8855777328).

Almost surely, 2^113641146311 is an apocalyptic number.

113641146311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113641146311 is a deficient number, since it is larger than the sum of its proper divisors (28051290937).

113641146311 is a wasteful number, since it uses less digits than its factorization.

113641146311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103862.

The product of its digits is 5184, while the sum is 32.

It can be divided in two parts, 113641 and 146311, that added together give a palindrome (259952).

The spelling of 113641146311 in words is "one hundred thirteen billion, six hundred forty-one million, one hundred forty-six thousand, three hundred eleven".