1311505435144 has 32 divisors (see below), whose sum is σ = 2462786726400. Its totient is φ = 654762556800.

The previous prime is 1311505435139. The next prime is 1311505435151. The reversal of 1311505435144 is 4415345051131.

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 7 ways as a sum of consecutive naturals, for example, 75360844 + ... + 75378244.

It is an arithmetic number, because the mean of its divisors is an integer number (76962085200).

Almost surely, 2^{1311505435144} is an apocalyptic number.

It is an amenable number.

1311505435144 is a deficient number, since it is larger than the sum of its proper divisors (1151281291256).

1311505435144 is a wasteful number, since it uses less digits than its factorization.

1311505435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31093 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 1311505435144 in words is "one trillion, three hundred eleven billion, five hundred five million, four hundred thirty-five thousand, one hundred forty-four".