131011122000010 has 128 divisors (see below), whose sum is σ = 276901503588864. Its totient is φ = 43694728197120.

The previous prime is 131011121999987. The next prime is 131011122000019. The reversal of 131011122000010 is 10000221110131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131011122000019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042845000 + ... + 1042970620.

It is an arithmetic number, because the mean of its divisors is an integer number (2163292996788).

Almost surely, 2^{131011122000010} is an apocalyptic number.

131011122000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131011122000010 is an abundant number, since it is smaller than the sum of its proper divisors (145890381588854).

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

131011122000010 is a wasteful number, since it uses less digits than its factorization.

131011122000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127088.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 131011122000010 its reverse (10000221110131), we get a palindrome (141011343110141).

The spelling of 131011122000010 in words is "one hundred thirty-one trillion, eleven billion, one hundred twenty-two million, ten", and thus it is an aban number.