1311616105362 has 96 divisors (see below), whose sum is σ = 3056775321600. Its totient is φ = 405153257184.

The previous prime is 1311616105337. The next prime is 1311616105391. The reversal of 1311616105362 is 2635016161131.

1311616105362 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 6 + 1 + 610 + 5 + 36 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29666589 + ... + 29710767.

It is an arithmetic number, because the mean of its divisors is an integer number (31841409600).

Almost surely, 2^{1311616105362} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311616105362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528387660800).

1311616105362 is an abundant number, since it is smaller than the sum of its proper divisors (1745159216238).

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

1311616105362 is a wasteful number, since it uses less digits than its factorization.

1311616105362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46100 (or 46097 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1311616105362 in words is "one trillion, three hundred eleven billion, six hundred sixteen million, one hundred five thousand, three hundred sixty-two".