131123202210 has 768 divisors, whose sum is σ = 475165716480. Its totient is φ = 24208865280.

The previous prime is 131123202179. The next prime is 131123202251. The reversal of 131123202210 is 12202321131.

131123202210 is a `hidden beast` number, since 1 + 311 + 2 + 320 + 22 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 463332729 + ... + 463333011.

It is an arithmetic number, because the mean of its divisors is an integer number (618705360).

Almost surely, 2^131123202210 is an apocalyptic number.

131123202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131123202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237582858240).

131123202210 is an abundant number, since it is smaller than the sum of its proper divisors (344042514270).

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

131123202210 is a wasteful number, since it uses less digits than its factorization.

131123202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131123202210 its reverse (12202321131), we get a palindrome (143325523341).

It can be divided in two parts, 131123 and 202210, that added together give a palindrome (333333).

The spelling of 131123202210 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred two thousand, two hundred ten".