1311680771388 has 432 divisors, whose sum is σ = 3873270326016. Its totient is φ = 371641374720.

The previous prime is 1311680771377. The next prime is 1311680771447. The reversal of 1311680771388 is 8831770861131.

1311680771388 is a `hidden beast` number, since 1 + 3 + 116 + 80 + 7 + 71 + 388 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2125900456 + ... + 2125901072.

Almost surely, 2^{1311680771388} is an apocalyptic number.

1311680771388 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 1311680771388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936635163008).

1311680771388 is an abundant number, since it is smaller than the sum of its proper divisors (2561589554628).

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

1311680771388 is a wasteful number, since it uses less digits than its factorization.

1311680771388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1311680771388 in words is "one trillion, three hundred eleven billion, six hundred eighty million, seven hundred seventy-one thousand, three hundred eighty-eight".