231313131002200 has 384 divisors, whose sum is σ = 587449258341120. Its totient is φ = 84198043238400.

The previous prime is 231313131002167. The next prime is 231313131002203. The reversal of 231313131002200 is 2200131313132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231313131002203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36792287457 + ... + 36792293743.

It is an arithmetic number, because the mean of its divisors is an integer number (1529815776930).

Almost surely, 2^{231313131002200} is an apocalyptic number.

231313131002200 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 231313131002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293724629170560).

231313131002200 is an abundant number, since it is smaller than the sum of its proper divisors (356136127338920).

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

231313131002200 is a wasteful number, since it uses less digits than its factorization.

231313131002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7158 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 231313131002200 its reverse (2200131313132), we get a palindrome (233513262315332).

The spelling of 231313131002200 in words is "two hundred thirty-one trillion, three hundred thirteen billion, one hundred thirty-one million, two thousand, two hundred".