202313002000 has 80 divisors (see below), whose sum is σ = 489309633072. Its totient is φ = 80905881600.

The previous prime is 202313001967. The next prime is 202313002019. The reversal of 202313002000 is 200313202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 14584909824 + 187728092176 = 120768^2 + 433276^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10776622 + ... + 10795378.

Almost surely, 2^202313002000 is an apocalyptic number.

202313002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202313002000 is an abundant number, since it is smaller than the sum of its proper divisors (286996631072).

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

202313002000 is a wasteful number, since it uses less digits than its factorization.

202313002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24173 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 202313002000 its reverse (200313202), we get a palindrome (202513315202).

The spelling of 202313002000 in words is "two hundred two billion, three hundred thirteen million, two thousand".