1313303010320 has 160 divisors (see below), whose sum is σ = 3521155131648. Its totient is φ = 446219403264.

The previous prime is 1313303010307. The next prime is 1313303010323. The reversal of 1313303010320 is 230103033131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1313303010292 and 1313303010301.

It is not an unprimeable number, because it can be changed into a prime (1313303010323) by changing a digit.

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, 45480527 + ... + 45509393.

Almost surely, 2^{1313303010320} is an apocalyptic number.

1313303010320 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 1313303010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760577565824).

1313303010320 is an abundant number, since it is smaller than the sum of its proper divisors (2207852121328).

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

1313303010320 is a wasteful number, since it uses less digits than its factorization.

1313303010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29617 (or 29611 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1313303010320 its reverse (230103033131), we get a palindrome (1543406043451).

The spelling of 1313303010320 in words is "one trillion, three hundred thirteen billion, three hundred three million, ten thousand, three hundred twenty".