131322332213310 has 192 divisors, whose sum is σ = 382595718339072. Its totient is φ = 28709608967424.

The previous prime is 131322332213299. The next prime is 131322332213329. The reversal of 131322332213310 is 13312233223131.

131322332213310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131322332213310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559336704 + ... + 559571436.

It is an arithmetic number, because the mean of its divisors is an integer number (1992686033016).

Almost surely, 2^{131322332213310} is an apocalyptic number.

131322332213310 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 131322332213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191297859169536).

131322332213310 is an abundant number, since it is smaller than the sum of its proper divisors (251273386125762).

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

131322332213310 is a wasteful number, since it uses less digits than its factorization.

131322332213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251327 (or 251320 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 131322332213310 its reverse (13312233223131), we get a palindrome (144634565436441).

The spelling of 131322332213310 in words is "one hundred thirty-one trillion, three hundred twenty-two billion, three hundred thirty-two million, two hundred thirteen thousand, three hundred ten".