1002310133220 has 432 divisors, whose sum is σ = 3439476047280. Its totient is φ = 235915130880.

The previous prime is 1002310133173. The next prime is 1002310133243. The reversal of 1002310133220 is 223310132001.

1002310133220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 310 + 1 + 332 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19725640704 + 982584492516 = 140448^2 + 991254^2 .

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 = 1002310133193 and 1002310133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 493991166 + ... + 493993194.

Almost surely, 2^{1002310133220} is an apocalyptic number.

1002310133220 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 1002310133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719738023640).

1002310133220 is an abundant number, since it is smaller than the sum of its proper divisors (2437165914060).

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

1002310133220 is a wasteful number, since it uses less digits than its factorization.

1002310133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2700 counting only the distinct ones).

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

Adding to 1002310133220 its reverse (223310132001), we get a palindrome (1225620265221).

The spelling of 1002310133220 in words is "one trillion, two billion, three hundred ten million, one hundred thirty-three thousand, two hundred twenty".