10111101131 has 2 divisors, whose sum is σ = 10111101132. Its totient is φ = 10111101130.

The previous prime is 10111101089. The next prime is 10111101149. The reversal of 10111101131 is 13110111101.

10111101131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (13110111101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10111101131 is a prime.

It is a super-2 number, since 2×10111101131² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10111101151) 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, 5055550565 + 5055550566.

It is an arithmetic number, because the mean of its divisors is an integer number (5055550566).

Almost surely, 2^10111101131 is an apocalyptic number.

10111101131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111101131 is an equidigital number, since it uses as much as digits as its factorization.

10111101131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 10111101131 its reverse (13110111101), we get a palindrome (23221212232).

It can be divided in two parts, 10111101 and 131, that multiplied together give a palindrome (1324554231).

The spelling of 10111101131 in words is "ten billion, one hundred eleven million, one hundred one thousand, one hundred thirty-one".