1311301003300 has 144 divisors (see below), whose sum is σ = 3050761738752. Its totient is φ = 488013926400.

The previous prime is 1311301003279. The next prime is 1311301003343. The reversal of 1311301003300 is 33001031131.

It is a super-2 number, since 2×1311301003300² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 31758469 + ... + 31799731.

It is an arithmetic number, because the mean of its divisors is an integer number (21185845408).

Almost surely, 2^{1311301003300} is an apocalyptic number.

1311301003300 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 1311301003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525380869376).

1311301003300 is an abundant number, since it is smaller than the sum of its proper divisors (1739460735452).

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

1311301003300 is a wasteful number, since it uses less digits than its factorization.

1311301003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41678 (or 41671 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1311301003300 its reverse (33001031131), we get a palindrome (1344302034431).

The spelling of 1311301003300 in words is "one trillion, three hundred eleven billion, three hundred one million, three thousand, three hundred".