202131000000 has 588 divisors, whose sum is σ = 745004213824. Its totient is φ = 52358400000.

The previous prime is 202130999989. The next prime is 202131000013. The reversal of 202131000000 is 131202.

It is a happy number.

202131000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202131000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 332999697 + ... + 333000303.

Almost surely, 2^202131000000 is an apocalyptic number.

202131000000 is a gapful number since it is divisible by the number (20) 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 202131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372502106912).

202131000000 is an abundant number, since it is smaller than the sum of its proper divisors (542873213824).

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

202131000000 is an frugal number, since it uses more digits than its factorization.

202131000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 202131000000 its reverse (131202), we get a palindrome (202131131202).

The spelling of 202131000000 in words is "two hundred two billion, one hundred thirty-one million", and thus it is an aban number.