10133131202209 has 2 divisors, whose sum is σ = 10133131202210. Its totient is φ = 10133131202208.

The previous prime is 10133131202177. The next prime is 10133131202239. The reversal of 10133131202209 is 90220213133101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9376474782609 + 756656419600 = 3062103^2 + 869860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133131202209 - 2⁵ = 10133131202177 is a prime.

It is a super-3 number, since 3×10133131202209³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10133131202239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066565601104 + 5066565601105.

It is an arithmetic number, because the mean of its divisors is an integer number (5066565601105).

Almost surely, 2^{10133131202209} is an apocalyptic number.

It is an amenable number.

10133131202209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133131202209 is an equidigital number, since it uses as much as digits as its factorization.

10133131202209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10133131202209 in words is "ten trillion, one hundred thirty-three billion, one hundred thirty-one million, two hundred two thousand, two hundred nine".