1311435164112 has 80 divisors (see below), whose sum is σ = 3434346854400. Its totient is φ = 431165955456.

The previous prime is 1311435164059. The next prime is 1311435164129. The reversal of 1311435164112 is 2114615341131.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2147139 + ... + 2689437.

It is an arithmetic number, because the mean of its divisors is an integer number (42929335680).

Almost surely, 2^{1311435164112} is an apocalyptic number.

1311435164112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311435164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717173427200).

1311435164112 is an abundant number, since it is smaller than the sum of its proper divisors (2122911690288).

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

1311435164112 is a wasteful number, since it uses less digits than its factorization.

1311435164112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543000 (or 542994 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The spelling of 1311435164112 in words is "one trillion, three hundred eleven billion, four hundred thirty-five million, one hundred sixty-four thousand, one hundred twelve".