10111132121131 has 2 divisors, whose sum is σ = 10111132121132. Its totient is φ = 10111132121130.

The previous prime is 10111132121117. The next prime is 10111132121149. The reversal of 10111132121131 is 13112123111101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10111132121131 - 2⁷ = 10111132121003 is a prime.

It is a super-2 number, since 2×10111132121131² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111132121099 and 10111132121108.

It is not a weakly prime, because it can be changed into another prime (10111132121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055566060565 + 5055566060566.

It is an arithmetic number, because the mean of its divisors is an integer number (5055566060566).

Almost surely, 2^{10111132121131} is an apocalyptic number.

10111132121131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111132121131 is an equidigital number, since it uses as much as digits as its factorization.

10111132121131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 10111132121131 its reverse (13112123111101), we get a palindrome (23223255232232).

The spelling of 10111132121131 in words is "ten trillion, one hundred eleven billion, one hundred thirty-two million, one hundred twenty-one thousand, one hundred thirty-one".