1311101125056 has 112 divisors (see below), whose sum is σ = 3854851502880. Its totient is φ = 436981893120.

The previous prime is 1311101125027. The next prime is 1311101125063. The reversal of 1311101125056 is 6505211011131.

1311101125056 is a `hidden beast` number, since 1 + 31 + 1 + 10 + 112 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16239220 + ... + 16319756.

It is an arithmetic number, because the mean of its divisors is an integer number (34418316990).

Almost surely, 2^{1311101125056} is an apocalyptic number.

1311101125056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311101125056 is an abundant number, since it is smaller than the sum of its proper divisors (2543750377824).

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

1311101125056 is an equidigital number, since it uses as much as digits as its factorization.

1311101125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89979 (or 89963 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 1311101125056 its reverse (6505211011131), we get a palindrome (7816312136187).

The spelling of 1311101125056 in words is "one trillion, three hundred eleven billion, one hundred one million, one hundred twenty-five thousand, fifty-six".