1313415341616 has 160 divisors (see below), whose sum is σ = 3903746715648. Its totient is φ = 372743804160.

The previous prime is 1313415341611. The next prime is 1313415341663. The reversal of 1313415341616 is 6161435143131.

It is not an unprimeable number, because it can be changed into a prime (1313415341611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111008821 + ... + 111020651.

Almost surely, 2^{1313415341616} is an apocalyptic number.

1313415341616 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 1313415341616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951873357824).

1313415341616 is an abundant number, since it is smaller than the sum of its proper divisors (2590331374032).

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

1313415341616 is a wasteful number, since it uses less digits than its factorization.

1313415341616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14033 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The spelling of 1313415341616 in words is "one trillion, three hundred thirteen billion, four hundred fifteen million, three hundred forty-one thousand, six hundred sixteen".