131011113033312 has 24 divisors (see below), whose sum is σ = 343904171712696. Its totient is φ = 43670371011072.

The previous prime is 131011113033299. The next prime is 131011113033313. The reversal of 131011113033312 is 213330311110131.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011113033313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 682349546953 + ... + 682349547144.

It is an arithmetic number, because the mean of its divisors is an integer number (14329340488029).

Almost surely, 2^{131011113033312} is an apocalyptic number.

131011113033312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131011113033312 is an abundant number, since it is smaller than the sum of its proper divisors (212893058679384).

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

131011113033312 is a wasteful number, since it uses less digits than its factorization.

131011113033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364699094110 (or 1364699094102 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 131011113033312 its reverse (213330311110131), we get a palindrome (344341424143443).

The spelling of 131011113033312 in words is "one hundred thirty-one trillion, eleven billion, one hundred thirteen million, thirty-three thousand, three hundred twelve".