1002313313320 has 256 divisors, whose sum is σ = 2633637888000. Its totient is φ = 339465369600.

The previous prime is 1002313313317. The next prime is 1002313313327. The reversal of 1002313313320 is 233133132001.

1002313313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1002313313291 and 1002313313300.

It is not an unprimeable number, because it can be changed into a prime (1002313313327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227331276 + ... + 227335684.

It is an arithmetic number, because the mean of its divisors is an integer number (10287648000).

Almost surely, 2^{1002313313320} is an apocalyptic number.

1002313313320 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 1002313313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316818944000).

1002313313320 is an abundant number, since it is smaller than the sum of its proper divisors (1631324574680).

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

1002313313320 is a wasteful number, since it uses less digits than its factorization.

1002313313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 1002313313320 its reverse (233133132001), we get a palindrome (1235446445321).

The spelling of 1002313313320 in words is "one trillion, two billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twenty".