1311331011300 has 108 divisors (see below), whose sum is σ = 4111377362820. Its totient is φ = 349596119040.

The previous prime is 1311331011269. The next prime is 1311331011317. The reversal of 1311331011300 is 31101331131.

1311331011300 is a `hidden beast` number, since 1 + 31 + 1 + 331 + 0 + 1 + 1 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 243382382244 + 1067948629056 = 493338^2 + 1033416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3259636 + ... + 3639764.

It is an arithmetic number, because the mean of its divisors is an integer number (38068308915).

Almost surely, 2^{1311331011300} is an apocalyptic number.

1311331011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311331011300 is an abundant number, since it is smaller than the sum of its proper divisors (2800046351520).

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

1311331011300 is a wasteful number, since it uses less digits than its factorization.

1311331011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383982 (or 383972 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1311331011300 its reverse (31101331131), we get a palindrome (1342432342431).

The spelling of 1311331011300 in words is "one trillion, three hundred eleven billion, three hundred thirty-one million, eleven thousand, three hundred".