1320013111312 has 60 divisors (see below), whose sum is σ = 2976840847596. Its totient is φ = 565385184000.

The previous prime is 1320013111303. The next prime is 1320013111321. The reversal of 1320013111312 is 2131113100231.

It is an interprime number because it is at equal distance from previous prime (1320013111303) and next prime (1320013111321).

It can be written as a sum of positive squares in 2 ways, for example, as 177884871696 + 1142128239616 = 421764^2 + 1068704^2 .

It is a super-2 number, since 2×1320013111312² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320013111312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 830062 + ... + 1824562.

Almost surely, 2^{1320013111312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320013111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488420423798).

1320013111312 is an abundant number, since it is smaller than the sum of its proper divisors (1656827736284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1320013111312 is a wasteful number, since it uses less digits than its factorization.

1320013111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996216 (or 996203 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1320013111312 its reverse (2131113100231), we get a palindrome (3451126211543).

The spelling of 1320013111312 in words is "one trillion, three hundred twenty billion, thirteen million, one hundred eleven thousand, three hundred twelve".