202131322000 has 40 divisors (see below), whose sum is σ = 488753541432. Its totient is φ = 80852528000.

The previous prime is 202131321983. The next prime is 202131322009. The reversal of 202131322000 is 223131202.

It can be written as a sum of positive squares in 4 ways, for example, as 22480804096 + 179650517904 = 149936^2 + 423852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202131322009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50530831 + ... + 50534830.

Almost surely, 2^202131322000 is an apocalyptic number.

202131322000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202131322000 is an abundant number, since it is smaller than the sum of its proper divisors (286622219432).

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

202131322000 is a wasteful number, since it uses less digits than its factorization.

202131322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101065684 (or 101065668 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202131322000 its reverse (223131202), we get a palindrome (202354453202).

The spelling of 202131322000 in words is "two hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand".