131300213310 has 144 divisors (see below), whose sum is σ = 397376366400. Its totient is φ = 29991814272.

The previous prime is 131300213257. The next prime is 131300213329. The reversal of 131300213310 is 13312003131.

It is a happy number.

131300213310 is a `hidden beast` number, since 1 + 31 + 300 + 2 + 1 + 331 + 0 = 666.

It is a super-2 number, since 2×131300213310² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7351371 + ... + 7369209.

It is an arithmetic number, because the mean of its divisors is an integer number (2759558100).

Almost surely, 2^131300213310 is an apocalyptic number.

131300213310 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 131300213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198688183200).

131300213310 is an abundant number, since it is smaller than the sum of its proper divisors (266076153090).

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

131300213310 is a wasteful number, since it uses less digits than its factorization.

131300213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19535 (or 19525 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131300213310 its reverse (13312003131), we get a palindrome (144612216441).

The spelling of 131300213310 in words is "one hundred thirty-one billion, three hundred million, two hundred thirteen thousand, three hundred ten".