202131306 has 48 divisors (see below), whose sum is σ = 478140936. Its totient is φ = 61337088.

The previous prime is 202131263. The next prime is 202131313. The reversal of 202131306 is 603131202.

It can be written as a sum of positive squares in 4 ways, for example, as 186568281 + 15563025 = 13659^2 + 3945^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11166 + ... + 22998.

Almost surely, 2^202131306 is an apocalyptic number.

202131306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202131306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239070468).

202131306 is an abundant number, since it is smaller than the sum of its proper divisors (276009630).

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

202131306 is a wasteful number, since it uses less digits than its factorization.

202131306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 202131306 is about 14217.2889820809. The cubic root of 202131306 is about 586.8735375099.

Adding to 202131306 its reverse (603131202), we get a palindrome (805262508).

The spelling of 202131306 in words is "two hundred two million, one hundred thirty-one thousand, three hundred six".