202131000 has 192 divisors, whose sum is σ = 702823680. Its totient is φ = 52358400.

The previous prime is 202130993. The next prime is 202131019. The reversal of 202131000 is 131202.

It is a happy number.

It is a super-2 number, since 2×202131000² = 81713882322000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332697 + ... + 333303.

It is an arithmetic number, because the mean of its divisors is an integer number (3660540).

Almost surely, 2^202131000 is an apocalyptic number.

202131000 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 202131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351411840).

202131000 is an abundant number, since it is smaller than the sum of its proper divisors (500692680).

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

202131000 is a wasteful number, since it uses less digits than its factorization.

202131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

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

The square root of 202131000 is about 14217.2782205315. The cubic root of 202131000 is about 586.8732413602.

Adding to 202131000 its reverse (131202), we get a palindrome (202262202).

The spelling of 202131000 in words is "two hundred two million, one hundred thirty-one thousand".