1311342023040 has 128 divisors (see below), whose sum is σ = 4777031704320. Its totient is φ = 299735316480.

The previous prime is 1311342023027. The next prime is 1311342023051. The reversal of 1311342023040 is 403202431131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311342023040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48771606 + ... + 48798485.

It is an arithmetic number, because the mean of its divisors is an integer number (37320560190).

Almost surely, 2^{1311342023040} is an apocalyptic number.

1311342023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311342023040 is an abundant number, since it is smaller than the sum of its proper divisors (3465689681280).

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

1311342023040 is an equidigital number, since it uses as much as digits as its factorization.

1311342023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97570120 (or 97570108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1311342023040 its reverse (403202431131), we get a palindrome (1714544454171).

The spelling of 1311342023040 in words is "one trillion, three hundred eleven billion, three hundred forty-two million, twenty-three thousand, forty".