1131145611677 has 2 divisors, whose sum is σ = 1131145611678. Its totient is φ = 1131145611676.

The previous prime is 1131145611619. The next prime is 1131145611679. The reversal of 1131145611677 is 7761165411311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1131119458681 + 26152996 = 1063541^2 + 5114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1131145611677 is a prime.

It is a super-2 number, since 2×1131145611677² (a number of 25 digits) contains 22 as substring.

Together with 1131145611679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131145611679) 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, 565572805838 + 565572805839.

It is an arithmetic number, because the mean of its divisors is an integer number (565572805839).

Almost surely, 2^{1131145611677} is an apocalyptic number.

It is an amenable number.

1131145611677 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131145611677 is an equidigital number, since it uses as much as digits as its factorization.

1131145611677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 44.

The spelling of 1131145611677 in words is "one trillion, one hundred thirty-one billion, one hundred forty-five million, six hundred eleven thousand, six hundred seventy-seven".