1311542124000 has 96 divisors (see below), whose sum is σ = 4296612037536. Its totient is φ = 349744563200.

The previous prime is 1311542123959. The next prime is 1311542124041. The reversal of 1311542124000 is 4212451131.

It is an interprime number because it is at equal distance from previous prime (1311542123959) and next prime (1311542124041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54635589 + ... + 54659588.

It is an arithmetic number, because the mean of its divisors is an integer number (44756375391).

Almost surely, 2^{1311542124000} is an apocalyptic number.

1311542124000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311542124000 is an abundant number, since it is smaller than the sum of its proper divisors (2985069913536).

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

1311542124000 is a wasteful number, since it uses less digits than its factorization.

1311542124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109295205 (or 109295187 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 1311542124000 its reverse (4212451131), we get a palindrome (1315754575131).

The spelling of 1311542124000 in words is "one trillion, three hundred eleven billion, five hundred forty-two million, one hundred twenty-four thousand".