1002311312220 has 72 divisors (see below), whose sum is σ = 3040574518800. Its totient is φ = 267262778880.

The previous prime is 1002311312213. The next prime is 1002311312227. The reversal of 1002311312220 is 222131132001.

1002311312220 is a `hidden beast` number, since 100 + 2 + 31 + 1 + 312 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1002311312213) and next prime (1002311312227).

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 = 1002311312193 and 1002311312202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002311312227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2252835 + ... + 2660805.

It is an arithmetic number, because the mean of its divisors is an integer number (42230201650).

Almost surely, 2^{1002311312220} is an apocalyptic number.

1002311312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002311312220 is an abundant number, since it is smaller than the sum of its proper divisors (2038263206580).

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

1002311312220 is a wasteful number, since it uses less digits than its factorization.

1002311312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421635 (or 421630 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002311312220 its reverse (222131132001), we get a palindrome (1224442444221).

The spelling of 1002311312220 in words is "one trillion, two billion, three hundred eleven million, three hundred twelve thousand, two hundred twenty".