1313103120000 has 1280 divisors, whose sum is σ = 5506237440000. Its totient is φ = 270065664000.

The previous prime is 1313103119989. The next prime is 1313103120001. The reversal of 1313103120000 is 213013131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1313103120001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 656879001 + ... + 656880999.

It is an arithmetic number, because the mean of its divisors is an integer number (4301748000).

Almost surely, 2^{1313103120000} is an apocalyptic number.

1313103120000 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 1313103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753118720000).

1313103120000 is an abundant number, since it is smaller than the sum of its proper divisors (4193134320000).

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

1313103120000 is a wasteful number, since it uses less digits than its factorization.

1313103120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1313103120000 its reverse (213013131), we get a palindrome (1313316133131).

The spelling of 1313103120000 in words is "one trillion, three hundred thirteen billion, one hundred three million, one hundred twenty thousand".