1313002221300 has 864 divisors, whose sum is σ = 5589632240640. Its totient is φ = 260962732800.

The previous prime is 1313002221259. The next prime is 1313002221317. The reversal of 1313002221300 is 31222003131.

1313002221300 is a `hidden beast` number, since 1 + 313 + 0 + 0 + 222 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33452287 + ... + 33491513.

It is an arithmetic number, because the mean of its divisors is an integer number (6469481760).

Almost surely, 2^{1313002221300} is an apocalyptic number.

1313002221300 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 1313002221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794816120320).

1313002221300 is an abundant number, since it is smaller than the sum of its proper divisors (4276630019340).

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

1313002221300 is a wasteful number, since it uses less digits than its factorization.

1313002221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39298 (or 39278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1313002221300 its reverse (31222003131), we get a palindrome (1344224224431).

The spelling of 1313002221300 in words is "one trillion, three hundred thirteen billion, two million, two hundred twenty-one thousand, three hundred".