1313011200320 has 224 divisors, whose sum is σ = 3348453064320. Its totient is φ = 488677376000.

The previous prime is 1313011200317. The next prime is 1313011200353. The reversal of 1313011200320 is 230021103131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187061771 + ... + 187068789.

It is an arithmetic number, because the mean of its divisors is an integer number (14948451180).

Almost surely, 2^{1313011200320} is an apocalyptic number.

1313011200320 is a gapful number since it is divisible by the number (10) 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 1313011200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674226532160).

1313011200320 is an abundant number, since it is smaller than the sum of its proper divisors (2035441864000).

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

1313011200320 is a wasteful number, since it uses less digits than its factorization.

1313011200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1313011200320 its reverse (230021103131), we get a palindrome (1543032303451).

The spelling of 1313011200320 in words is "one trillion, three hundred thirteen billion, eleven million, two hundred thousand, three hundred twenty".