1313565322146 has 96 divisors (see below), whose sum is σ = 3347823882240. Its totient is φ = 339758042400.

The previous prime is 1313565322141. The next prime is 1313565322151. The reversal of 1313565322146 is 6412235653131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1313565322141) and next prime (1313565322151).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1313565322098 and 1313565322107.

It is not an unprimeable number, because it can be changed into a prime (1313565322141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76810 + ... + 1622661.

It is an arithmetic number, because the mean of its divisors is an integer number (34873165440).

Almost surely, 2^{1313565322146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313565322146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673911941120).

1313565322146 is an abundant number, since it is smaller than the sum of its proper divisors (2034258560094).

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

1313565322146 is a wasteful number, since it uses less digits than its factorization.

1313565322146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699740 (or 1699733 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 1313565322146 in words is "one trillion, three hundred thirteen billion, five hundred sixty-five million, three hundred twenty-two thousand, one hundred forty-six".