10133012032009 has 2 divisors, whose sum is σ = 10133012032010. Its totient is φ = 10133012032008.

The previous prime is 10133012031977. The next prime is 10133012032061. The reversal of 10133012032009 is 90023021033101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8792677910025 + 1340334121984 = 2965245^2 + 1157728^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133012032009 - 2⁵ = 10133012031977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10133012032069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066506016004 + 5066506016005.

It is an arithmetic number, because the mean of its divisors is an integer number (5066506016005).

Almost surely, 2^{10133012032009} is an apocalyptic number.

It is an amenable number.

10133012032009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133012032009 is an equidigital number, since it uses as much as digits as its factorization.

10133012032009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 10133012032009 in words is "ten trillion, one hundred thirty-three billion, twelve million, thirty-two thousand, nine".