131101321032 has 576 divisors, whose sum is σ = 439193664000. Its totient is φ = 35126784000.

The previous prime is 131101320997. The next prime is 131101321073. The reversal of 131101321032 is 230123101131.

131101321032 is a `hidden beast` number, since 1 + 311 + 0 + 1 + 321 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131101320996 and 131101321014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148809232 + ... + 148810112.

It is an arithmetic number, because the mean of its divisors is an integer number (762489000).

Almost surely, 2^131101321032 is an apocalyptic number.

131101321032 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 131101321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832000).

131101321032 is an abundant number, since it is smaller than the sum of its proper divisors (308092342968).

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

131101321032 is a wasteful number, since it uses less digits than its factorization.

131101321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131101321032 its reverse (230123101131), we get a palindrome (361224422163).

The spelling of 131101321032 in words is "one hundred thirty-one billion, one hundred one million, three hundred twenty-one thousand, thirty-two".