1013164129 has 2 divisors, whose sum is σ = 1013164130. Its totient is φ = 1013164128.

The previous prime is 1013164121. The next prime is 1013164157. The reversal of 1013164129 is 9214613101.

It is an a-pointer prime, because the next prime (1013164157) can be obtained adding 1013164129 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 813789729 + 199374400 = 28527^2 + 14120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013164129 - 2³ = 1013164121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013164097 and 1013164106.

It is not a weakly prime, because it can be changed into another prime (1013164121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506582064 + 506582065.

It is an arithmetic number, because the mean of its divisors is an integer number (506582065).

Almost surely, 2^1013164129 is an apocalyptic number.

It is an amenable number.

1013164129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013164129 is an equidigital number, since it uses as much as digits as its factorization.

1013164129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1013164129 is about 31830.2392231036. The cubic root of 1013164129 is about 1004.3689276736.

The spelling of 1013164129 in words is "one billion, thirteen million, one hundred sixty-four thousand, one hundred twenty-nine".