131211323010 has 128 divisors (see below), whose sum is σ = 354639409920. Its totient is φ = 34517952000.

The previous prime is 131211322999. The next prime is 131211323041. The reversal of 131211323010 is 10323112131.

131211323010 is a `hidden beast` number, since 1 + 312 + 113 + 230 + 10 = 666.

It is a super-2 number, since 2×131211323010² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7654309 + ... + 7671431.

It is an arithmetic number, because the mean of its divisors is an integer number (2770620390).

Almost surely, 2^131211323010 is an apocalyptic number.

131211323010 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 131211323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177319704960).

131211323010 is an abundant number, since it is smaller than the sum of its proper divisors (223428086910).

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

131211323010 is a wasteful number, since it uses less digits than its factorization.

131211323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131211323010 its reverse (10323112131), we get a palindrome (141534435141).

The spelling of 131211323010 in words is "one hundred thirty-one billion, two hundred eleven million, three hundred twenty-three thousand, ten".