12001000031 has 2 divisors, whose sum is σ = 12001000032. Its totient is φ = 12001000030.

The previous prime is 12001000003. The next prime is 12001000049. The reversal of 12001000031 is 13000010021.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12001000031 - 2¹⁰ = 12000999007 is a prime.

It is a super-2 number, since 2×12001000031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12000999982 and 12001000018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001000331) 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, 6000500015 + 6000500016.

It is an arithmetic number, because the mean of its divisors is an integer number (6000500016).

Almost surely, 2^12001000031 is an apocalyptic number.

12001000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001000031 is an equidigital number, since it uses as much as digits as its factorization.

12001000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12001000031 its reverse (13000010021), we get a palindrome (25001010052).

The spelling of 12001000031 in words is "twelve billion, one million, thirty-one", and thus it is an aban number and an uban number.