11312111101 has 2 divisors, whose sum is σ = 11312111102. Its totient is φ = 11312111100.

The previous prime is 11312111077. The next prime is 11312111131. The reversal of 11312111101 is 10111121311.

11312111101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8226308601 + 3085802500 = 90699^2 + 55550^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312111101 - 2¹⁹ = 11311586813 is a prime.

It is a super-2 number, since 2×11312111101² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11312111131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656055550 + 5656055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5656055551).

Almost surely, 2^11312111101 is an apocalyptic number.

It is an amenable number.

11312111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312111101 is an equidigital number, since it uses as much as digits as its factorization.

11312111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11312111101 its reverse (10111121311), we get a palindrome (21423232412).

The spelling of 11312111101 in words is "eleven billion, three hundred twelve million, one hundred eleven thousand, one hundred one".