10819733131 has 2 divisors, whose sum is σ = 10819733132. Its totient is φ = 10819733130.

The previous prime is 10819733077. The next prime is 10819733161. The reversal of 10819733131 is 13133791801.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10819733131 - 2⁷ = 10819733003 is a prime.

It is a super-2 number, since 2×10819733131² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10819733161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5409866565 + 5409866566.

It is an arithmetic number, because the mean of its divisors is an integer number (5409866566).

Almost surely, 2^10819733131 is an apocalyptic number.

10819733131 is a deficient number, since it is larger than the sum of its proper divisors (1).

10819733131 is an equidigital number, since it uses as much as digits as its factorization.

10819733131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 37.

The spelling of 10819733131 in words is "ten billion, eight hundred nineteen million, seven hundred thirty-three thousand, one hundred thirty-one".