1311265401312 has 192 divisors, whose sum is σ = 3524230321920. Its totient is φ = 426792038400.

The previous prime is 1311265401311. The next prime is 1311265401343. The reversal of 1311265401312 is 2131045621131.

It is a super-2 number, since 2×1311265401312² (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 1311265401312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311265401311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450760114 + ... + 450763022.

It is an arithmetic number, because the mean of its divisors is an integer number (18355366260).

Almost surely, 2^{1311265401312} is an apocalyptic number.

1311265401312 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 1311265401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762115160960).

1311265401312 is an abundant number, since it is smaller than the sum of its proper divisors (2212964920608).

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

1311265401312 is a wasteful number, since it uses less digits than its factorization.

1311265401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1311265401312 in words is "one trillion, three hundred eleven billion, two hundred sixty-five million, four hundred one thousand, three hundred twelve".