10110131377 has 2 divisors, whose sum is σ = 10110131378. Its totient is φ = 10110131376.

The previous prime is 10110131281. The next prime is 10110131417. The reversal of 10110131377 is 77313101101.

10110131377 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 can be written as a sum of positive squares in only one way, i.e., 9713285136 + 396846241 = 98556^2 + 19921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10110131377 is a prime.

It is a super-2 number, since 2×10110131377² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10110101377) 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, 5055065688 + 5055065689.

It is an arithmetic number, because the mean of its divisors is an integer number (5055065689).

Almost surely, 2^10110131377 is an apocalyptic number.

It is an amenable number.

10110131377 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110131377 is an equidigital number, since it uses as much as digits as its factorization.

10110131377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 25.

Adding to 10110131377 its reverse (77313101101), we get a palindrome (87423232478).

The spelling of 10110131377 in words is "ten billion, one hundred ten million, one hundred thirty-one thousand, three hundred seventy-seven".