1311393120048 has 480 divisors, whose sum is σ = 4311006935040. Its totient is φ = 368178370560.

The previous prime is 1311393120043. The next prime is 1311393120053. The reversal of 1311393120048 is 8400213931131.

1311393120048 is a `hidden beast` number, since 13 + 11 + 393 + 1 + 200 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1311393120043) and next prime (1311393120053).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1311393119994 and 1311393120021.

It is not an unprimeable number, because it can be changed into a prime (1311393120043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152536486 + ... + 152545082.

It is an arithmetic number, because the mean of its divisors is an integer number (8981264448).

Almost surely, 2^{1311393120048} is an apocalyptic number.

1311393120048 is a gapful number since it is divisible by the number (18) 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 1311393120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155503467520).

1311393120048 is an abundant number, since it is smaller than the sum of its proper divisors (2999613814992).

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

1311393120048 is a wasteful number, since it uses less digits than its factorization.

1311393120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8777 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1311393120048 in words is "one trillion, three hundred eleven billion, three hundred ninety-three million, one hundred twenty thousand, forty-eight".