12031013332013 has 12 divisors (see below), whose sum is σ = 13763453637780. Its totient is φ = 10452283072512.

The previous prime is 12031013331959. The next prime is 12031013332067. The reversal of 12031013332013 is 31023331013021.

It is an interprime number because it is at equal distance from previous prime (12031013331959) and next prime (12031013332067).

It can be written as a sum of positive squares in 6 ways, for example, as 1137759288964 + 10893254043049 = 1066658^2 + 3300493^2 .

It is not a de Polignac number, because 12031013332013 - 2¹² = 12031013327917 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12031013332013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12031013332073) 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 in 11 ways as a sum of consecutive naturals, for example, 1601142548 + ... + 1601150061.

It is an arithmetic number, because the mean of its divisors is an integer number (1146954469815).

Almost surely, 2^{12031013332013} is an apocalyptic number.

12031013332013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12031013332013 is a deficient number, since it is larger than the sum of its proper divisors (1732440305767).

12031013332013 is a wasteful number, since it uses less digits than its factorization.

12031013332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202292656 (or 3202292639 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 12031013332013 its reverse (31023331013021), we get a palindrome (43054344345034).

The spelling of 12031013332013 in words is "twelve trillion, thirty-one billion, thirteen million, three hundred thirty-two thousand, thirteen".