12031013013031 has 2 divisors, whose sum is σ = 12031013013032. Its totient is φ = 12031013013030.

The previous prime is 12031013013007. The next prime is 12031013013109. The reversal of 12031013013031 is 13031031013021.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12031013013031 - 2³⁹ = 11481257199143 is a prime.

It is a super-2 number, since 2×12031013013031² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12031013010031) 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, 6015506506515 + 6015506506516.

It is an arithmetic number, because the mean of its divisors is an integer number (6015506506516).

Almost surely, 2^{12031013013031} is an apocalyptic number.

12031013013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031013013031 is an equidigital number, since it uses as much as digits as its factorization.

12031013013031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12031013013031 its reverse (13031031013021), we get a palindrome (25062044026052).

The spelling of 12031013013031 in words is "twelve trillion, thirty-one billion, thirteen million, thirteen thousand, thirty-one".