1313003211300 has 432 divisors, whose sum is σ = 4651899592704. Its totient is φ = 306879840000.

The previous prime is 1313003211293. The next prime is 1313003211337. The reversal of 1313003211300 is 31123003131.

It is a happy number.

1313003211300 is a `hidden beast` number, since 1 + 31 + 300 + 32 + 1 + 1 + 300 = 666.

It is a super-2 number, since 2×1313003211300² (a number of 25 digits) contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 83162007 + ... + 83177793.

Almost surely, 2^{1313003211300} is an apocalyptic number.

1313003211300 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 1313003211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325949796352).

1313003211300 is an abundant number, since it is smaller than the sum of its proper divisors (3338896381404).

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

1313003211300 is a wasteful number, since it uses less digits than its factorization.

1313003211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16120 (or 16110 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313003211300 its reverse (31123003131), we get a palindrome (1344126214431).

The spelling of 1313003211300 in words is "one trillion, three hundred thirteen billion, three million, two hundred eleven thousand, three hundred".