1313311303000 has 128 divisors (see below), whose sum is σ = 3152009427840. Its totient is φ = 511875840000.

The previous prime is 1313311302973. The next prime is 1313311303019. The reversal of 1313311303000 is 3031133131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33723540 + ... + 33762460.

It is an arithmetic number, because the mean of its divisors is an integer number (24625073655).

Almost surely, 2^{1313311303000} is an apocalyptic number.

1313311303000 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 1313311303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576004713920).

1313311303000 is an abundant number, since it is smaller than the sum of its proper divisors (1838698124840).

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

1313311303000 is a wasteful number, since it uses less digits than its factorization.

1313311303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39806 (or 39792 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1313311303000 its reverse (3031133131), we get a palindrome (1316342436131).

The spelling of 1313311303000 in words is "one trillion, three hundred thirteen billion, three hundred eleven million, three hundred three thousand".