1006131313189 has 2 divisors, whose sum is σ = 1006131313190. Its totient is φ = 1006131313188.

The previous prime is 1006131313127. The next prime is 1006131313223. The reversal of 1006131313189 is 9813131316001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 982655864100 + 23475449089 = 991290^2 + 153217^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006131313189 - 2²⁹ = 1005594442277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006131316189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503065656594 + 503065656595.

It is an arithmetic number, because the mean of its divisors is an integer number (503065656595).

Almost surely, 2^{1006131313189} is an apocalyptic number.

It is an amenable number.

1006131313189 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006131313189 is an equidigital number, since it uses as much as digits as its factorization.

1006131313189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 1006131313189 in words is "one trillion, six billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred eighty-nine".