1009819529113 has 2 divisors, whose sum is σ = 1009819529114. Its totient is φ = 1009819529112.

The previous prime is 1009819529083. The next prime is 1009819529119. The reversal of 1009819529113 is 3119259189001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 694275565824 + 315543963289 = 833232^2 + 561733^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009819529113 - 2¹⁷ = 1009819398041 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009819529119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504909764556 + 504909764557.

It is an arithmetic number, because the mean of its divisors is an integer number (504909764557).

Almost surely, 2^{1009819529113} is an apocalyptic number.

It is an amenable number.

1009819529113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009819529113 is an equidigital number, since it uses as much as digits as its factorization.

1009819529113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174960, while the sum is 49.

The spelling of 1009819529113 in words is "one trillion, nine billion, eight hundred nineteen million, five hundred twenty-nine thousand, one hundred thirteen".