1031072788129 has 2 divisors, whose sum is σ = 1031072788130. Its totient is φ = 1031072788128.

The previous prime is 1031072788127. The next prime is 1031072788139. The reversal of 1031072788129 is 9218872701301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 619608271104 + 411464517025 = 787152^2 + 641455^2 .

It is an emirp because it is prime and its reverse (9218872701301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031072788129 - 2¹ = 1031072788127 is a prime.

It is a super-2 number, since 2×1031072788129² (a number of 25 digits) contains 22 as substring.

Together with 1031072788127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1031072788127) 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, 515536394064 + 515536394065.

It is an arithmetic number, because the mean of its divisors is an integer number (515536394065).

Almost surely, 2^{1031072788129} is an apocalyptic number.

It is an amenable number.

1031072788129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031072788129 is an equidigital number, since it uses as much as digits as its factorization.

1031072788129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 49.

The spelling of 1031072788129 in words is "one trillion, thirty-one billion, seventy-two million, seven hundred eighty-eight thousand, one hundred twenty-nine".