1311291919056 has 320 divisors, whose sum is σ = 4125922209792. Its totient is φ = 350323040256.

The previous prime is 1311291919051. The next prime is 1311291919117. The reversal of 1311291919056 is 6509191921131.

It is a super-2 number, since 2×1311291919056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1311291918996 and 1311291919014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311291919051) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 628313245 + ... + 628315331.

Almost surely, 2^{1311291919056} is an apocalyptic number.

1311291919056 is a gapful number since it is divisible by the number (16) 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 1311291919056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062961104896).

1311291919056 is an abundant number, since it is smaller than the sum of its proper divisors (2814630290736).

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

1311291919056 is a wasteful number, since it uses less digits than its factorization.

1311291919056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 48.

The spelling of 1311291919056 in words is "one trillion, three hundred eleven billion, two hundred ninety-one million, nine hundred nineteen thousand, fifty-six".