1311640313616 has 60 divisors (see below), whose sum is σ = 3705077471472. Its totient is φ = 433127325888.

The previous prime is 1311640313597. The next prime is 1311640313681. The reversal of 1311640313616 is 6163130461131.

1311640313616 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 4 + 0 + 31 + 3 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42548206 + ... + 42579021.

Almost surely, 2^{1311640313616} is an apocalyptic number.

1311640313616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1311640313616 is an abundant number, since it is smaller than the sum of its proper divisors (2393437157856).

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

1311640313616 is a wasteful number, since it uses less digits than its factorization.

1311640313616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85127348 (or 85127339 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 1311640313616 its reverse (6163130461131), we get a palindrome (7474770774747).

The spelling of 1311640313616 in words is "one trillion, three hundred eleven billion, six hundred forty million, three hundred thirteen thousand, six hundred sixteen".