131303112110010 has 192 divisors, whose sum is σ = 351753790752000. Its totient is φ = 33957251260416.

The previous prime is 131303112109889. The next prime is 131303112110011. The reversal of 131303112110010 is 10011211303131.

131303112110010 is a `hidden beast` number, since 1 + 3 + 130 + 311 + 211 + 0 + 0 + 10 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131303112110011) by changing a digit.

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, 2710106266 + ... + 2710154714.

It is an arithmetic number, because the mean of its divisors is an integer number (1832050993500).

Almost surely, 2^{131303112110010} is an apocalyptic number.

131303112110010 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 131303112110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175876895376000).

131303112110010 is an abundant number, since it is smaller than the sum of its proper divisors (220450678641990).

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

131303112110010 is a wasteful number, since it uses less digits than its factorization.

131303112110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51125 (or 51122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131303112110010 its reverse (10011211303131), we get a palindrome (141314323413141).

The spelling of 131303112110010 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred twelve million, one hundred ten thousand, ten".