31002122120009 has 2 divisors, whose sum is σ = 31002122120010. Its totient is φ = 31002122120008.

The previous prime is 31002122119961. The next prime is 31002122120029. The reversal of 31002122120009 is 90002122120013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24212579914384 + 6789542205625 = 4920628^2 + 2605675^2 .

It is a cyclic number.

It is not a de Polignac number, because 31002122120009 - 2⁴⁴ = 13409936075593 is a prime.

It is a super-2 number, since 2×31002122120009² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31002122120029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15501061060004 + 15501061060005.

It is an arithmetic number, because the mean of its divisors is an integer number (15501061060005).

Almost surely, 2^{31002122120009} is an apocalyptic number.

It is an amenable number.

31002122120009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31002122120009 is an equidigital number, since it uses as much as digits as its factorization.

31002122120009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 31002122120009 in words is "thirty-one trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, nine".