131011101312 has 512 divisors, whose sum is σ = 444461230080. Its totient is φ = 33269170176.

The previous prime is 131011101253. The next prime is 131011101379. The reversal of 131011101312 is 213101110131.

It is a junction number, because it is equal to n+sod(n) for n = 131011101291 and 131011101300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138342823 + ... + 138343769.

It is an arithmetic number, because the mean of its divisors is an integer number (868088340).

Almost surely, 2^131011101312 is an apocalyptic number.

131011101312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131011101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222230615040).

131011101312 is an abundant number, since it is smaller than the sum of its proper divisors (313450128768).

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

131011101312 is a wasteful number, since it uses less digits than its factorization.

131011101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 131011101312 its reverse (213101110131), we get a palindrome (344112211443).

It can be divided in two parts, 13101110131 and 2, that multiplied together give a palindrome (26202220262).

The spelling of 131011101312 in words is "one hundred thirty-one billion, eleven million, one hundred one thousand, three hundred twelve".