1311055311000 has 128 divisors (see below), whose sum is σ = 4091031360000. Its totient is φ = 349568700800.

The previous prime is 1311055310933. The next prime is 1311055311001. The reversal of 1311055311000 is 1135501131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311055311001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26972719 + ... + 27021281.

It is an arithmetic number, because the mean of its divisors is an integer number (31961182500).

Almost surely, 2^{1311055311000} is an apocalyptic number.

1311055311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311055311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045515680000).

1311055311000 is an abundant number, since it is smaller than the sum of its proper divisors (2779976049000).

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

1311055311000 is a wasteful number, since it uses less digits than its factorization.

1311055311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57586 (or 57572 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 21.

The spelling of 1311055311000 in words is "one trillion, three hundred eleven billion, fifty-five million, three hundred eleven thousand".