113131311101 has 2 divisors, whose sum is σ = 113131311102. Its totient is φ = 113131311100.

The previous prime is 113131311031. The next prime is 113131311109. The reversal of 113131311101 is 101113131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104053985476 + 9077325625 = 322574^2 + 95275^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113131311101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 113131311101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113131311109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565655550 + 56565655551.

It is an arithmetic number, because the mean of its divisors is an integer number (56565655551).

Almost surely, 2^113131311101 is an apocalyptic number.

It is an amenable number.

113131311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131311101 is an equidigital number, since it uses as much as digits as its factorization.

113131311101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 113131311101 its reverse (101113131311), we get a palindrome (214244442412).

It can be divided in two parts, 113131311 and 101, that multiplied together give a palindrome (11426262411).

The spelling of 113131311101 in words is "one hundred thirteen billion, one hundred thirty-one million, three hundred eleven thousand, one hundred one".