1002312331020 has 2304 divisors, whose sum is σ = 4544190443520. Its totient is φ = 171992678400.

The previous prime is 1002312330997. The next prime is 1002312331051. The reversal of 1002312331020 is 201332132001.

1002312331020 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 312 + 331 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002312330984 and 1002312331002.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5193328044 + ... + 5193328236.

It is an arithmetic number, because the mean of its divisors is an integer number (1972304880).

Almost surely, 2^{1002312331020} is an apocalyptic number.

1002312331020 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 1002312331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272095221760).

1002312331020 is an abundant number, since it is smaller than the sum of its proper divisors (3541878112500).

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

1002312331020 is a wasteful number, since it uses less digits than its factorization.

1002312331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1002312331020 its reverse (201332132001), we get a palindrome (1203644463021).

The spelling of 1002312331020 in words is "one trillion, two billion, three hundred twelve million, three hundred thirty-one thousand, twenty".