131231131008 has 128 divisors (see below), whose sum is σ = 367113667200. Its totient is φ = 41420574720.

The previous prime is 131231131001. The next prime is 131231131039. The reversal of 131231131008 is 800131132131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 (131231131001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21542043 + ... + 21548133.

It is an arithmetic number, because the mean of its divisors is an integer number (2868075525).

Almost surely, 2^131231131008 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 131231131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183556833600).

131231131008 is an abundant number, since it is smaller than the sum of its proper divisors (235882536192).

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

131231131008 is a wasteful number, since it uses less digits than its factorization.

131231131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9080 (or 9068 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 131231131008 its reverse (800131132131), we get a palindrome (931362263139).

The spelling of 131231131008 in words is "one hundred thirty-one billion, two hundred thirty-one million, one hundred thirty-one thousand, eight".