1311020342000 has 80 divisors (see below), whose sum is σ = 3279359304000. Its totient is φ = 506325075200.

The previous prime is 1311020341993. The next prime is 1311020342003. The reversal of 1311020342000 is 2430201131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1311020342000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311020342003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11243900 + ... + 11359899.

It is an arithmetic number, because the mean of its divisors is an integer number (40991991300).

Almost surely, 2^{1311020342000} is an apocalyptic number.

1311020342000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311020342000 is an abundant number, since it is smaller than the sum of its proper divisors (1968338962000).

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

1311020342000 is a wasteful number, since it uses less digits than its factorization.

1311020342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22603851 (or 22603835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1311020342000 its reverse (2430201131), we get a palindrome (1313450543131).

The spelling of 1311020342000 in words is "one trillion, three hundred eleven billion, twenty million, three hundred forty-two thousand".