131131133132032 has 108 divisors (see below), whose sum is σ = 287723498344128. Its totient is φ = 59601998156800.

The previous prime is 131131133131949. The next prime is 131131133132033. The reversal of 131131133132032 is 230231331131131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131133132033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669324393 + ... + 669520279.

Almost surely, 2^{131131133132032} 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 131131133132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143861749172064).

131131133132032 is an abundant number, since it is smaller than the sum of its proper divisors (156592365212096).

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

131131133132032 is a wasteful number, since it uses less digits than its factorization.

131131133132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217536 (or 217511 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 131131133132032 its reverse (230231331131131), we get a palindrome (361362464263163).

The spelling of 131131133132032 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-two".