1311413601312 has 36 divisors (see below), whose sum is σ = 3729332429550. Its totient is φ = 437137867008.

The previous prime is 1311413601271. The next prime is 1311413601317. The reversal of 1311413601312 is 2131063141131.

1311413601312 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 41 + 3 + 601 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1140444583056 + 170969018256 = 1067916^2 + 413484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1311413601312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311413601317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2276759437 + ... + 2276760012.

Almost surely, 2^{1311413601312} is an apocalyptic number.

1311413601312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311413601312 is an abundant number, since it is smaller than the sum of its proper divisors (2417918828238).

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

1311413601312 is a wasteful number, since it uses less digits than its factorization.

1311413601312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553519465 (or 4553519454 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 1311413601312 its reverse (2131063141131), we get a palindrome (3442476742443).

The spelling of 1311413601312 in words is "one trillion, three hundred eleven billion, four hundred thirteen million, six hundred one thousand, three hundred twelve".