1313353144020 has 96 divisors (see below), whose sum is σ = 3742591910400. Its totient is φ = 344026812544.

The previous prime is 1313353144013. The next prime is 1313353144063. The reversal of 1313353144020 is 204413533131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4484851 + ... + 4768709.

It is an arithmetic number, because the mean of its divisors is an integer number (38985332400).

Almost surely, 2^{1313353144020} is an apocalyptic number.

1313353144020 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 1313353144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871295955200).

1313353144020 is an abundant number, since it is smaller than the sum of its proper divisors (2429238766380).

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

1313353144020 is a wasteful number, since it uses less digits than its factorization.

1313353144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285237 (or 285235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1313353144020 its reverse (204413533131), we get a palindrome (1517766677151).

The spelling of 1313353144020 in words is "one trillion, three hundred thirteen billion, three hundred fifty-three million, one hundred forty-four thousand, twenty".