1311133142144 has 32 divisors (see below), whose sum is σ = 2985169209600. Its totient is φ = 561914203392.

The previous prime is 1311133142131. The next prime is 1311133142161. The reversal of 1311133142144 is 4412413311131.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 731658224 + ... + 731660015.

It is an arithmetic number, because the mean of its divisors is an integer number (93286537800).

Almost surely, 2^{1311133142144} is an apocalyptic number.

1311133142144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1311133142144 is an abundant number, since it is smaller than the sum of its proper divisors (1674036067456).

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

1311133142144 is an equidigital number, since it uses as much as digits as its factorization.

1311133142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463318260 (or 1463318248 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 1311133142144 its reverse (4412413311131), we get a palindrome (5723546453275).

The spelling of 1311133142144 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred forty-four".