1316403131616 has 144 divisors (see below), whose sum is σ = 3777911504640. Its totient is φ = 434786330880.

The previous prime is 1316403131609. The next prime is 1316403131621. The reversal of 1316403131616 is 6161313046131.

1316403131616 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 4 + 0 + 3 + 1 + 31 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15496105 + ... + 15580823.

It is an arithmetic number, because the mean of its divisors is an integer number (26235496560).

Almost surely, 2^{1316403131616} is an apocalyptic number.

1316403131616 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 1316403131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888955752320).

1316403131616 is an abundant number, since it is smaller than the sum of its proper divisors (2461508373024).

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

1316403131616 is a wasteful number, since it uses less digits than its factorization.

1316403131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85229 (or 85218 counting only the distinct ones).

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

Adding to 1316403131616 its reverse (6161313046131), we get a palindrome (7477716177747).

The spelling of 1316403131616 in words is "one trillion, three hundred sixteen billion, four hundred three million, one hundred thirty-one thousand, six hundred sixteen".