1052122313129 has 2 divisors, whose sum is σ = 1052122313130. Its totient is φ = 1052122313128.

The previous prime is 1052122313087. The next prime is 1052122313149. The reversal of 1052122313129 is 9213132212501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1017622965529 + 34499347600 = 1008773^2 + 185740^2 .

It is a cyclic number.

It is not a de Polignac number, because 1052122313129 - 2⁸ = 1052122312873 is a prime.

It is a super-2 number, since 2×1052122313129² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052122313095 and 1052122313104.

It is not a weakly prime, because it can be changed into another prime (1052122313149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526061156564 + 526061156565.

It is an arithmetic number, because the mean of its divisors is an integer number (526061156565).

Almost surely, 2^{1052122313129} is an apocalyptic number.

It is an amenable number.

1052122313129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1052122313129 is an equidigital number, since it uses as much as digits as its factorization.

1052122313129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 1052122313129 in words is "one trillion, fifty-two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty-nine".