131201001210112 has 72 divisors (see below), whose sum is σ = 277371165238272. Its totient is φ = 61724636160000.

The previous prime is 131201001210107. The next prime is 131201001210131. The reversal of 131201001210112 is 211012100102131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 11650737 + ... + 19953487.

It is an arithmetic number, because the mean of its divisors is an integer number (3852377294976).

Almost surely, 2^{131201001210112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131201001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138685582619136).

131201001210112 is an abundant number, since it is smaller than the sum of its proper divisors (146170164028160).

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

131201001210112 is an equidigital number, since it uses as much as digits as its factorization.

131201001210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306415 (or 8306401 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 131201001210112 its reverse (211012100102131), we get a palindrome (342213101312243).

The spelling of 131201001210112 in words is "one hundred thirty-one trillion, two hundred one billion, one million, two hundred ten thousand, one hundred twelve".