31002011009 has 2 divisors, whose sum is σ = 31002011010. Its totient is φ = 31002011008.

The previous prime is 31002010999. The next prime is 31002011023. The reversal of 31002011009 is 90011020013.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21712906609 + 9289104400 = 147353^2 + 96380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31002011009 is a prime.

It is a super-2 number, since 2×31002011009² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31002011099) 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, 15501005504 + 15501005505.

It is an arithmetic number, because the mean of its divisors is an integer number (15501005505).

Almost surely, 2^31002011009 is an apocalyptic number.

It is an amenable number.

31002011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31002011009 is an equidigital number, since it uses as much as digits as its factorization.

31002011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 31002011009 in words is "thirty-one billion, two million, eleven thousand, nine".