131101232041332 has 192 divisors, whose sum is σ = 389326624727040. Its totient is φ = 37372798956672.

The previous prime is 131101232041291. The next prime is 131101232041333. The reversal of 131101232041332 is 233140232101131.

131101232041332 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 0 + 1 + 2 + 320 + 4 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131101232041296 and 131101232041305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101232041333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3914270778 + ... + 3914304270.

It is an arithmetic number, because the mean of its divisors is an integer number (2027742837120).

Almost surely, 2^{131101232041332} is an apocalyptic number.

131101232041332 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 131101232041332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194663312363520).

131101232041332 is an abundant number, since it is smaller than the sum of its proper divisors (258225392685708).

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

131101232041332 is a wasteful number, since it uses less digits than its factorization.

131101232041332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45067 (or 45059 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131101232041332 its reverse (233140232101131), we get a palindrome (364241464142463).

The spelling of 131101232041332 in words is "one hundred thirty-one trillion, one hundred one billion, two hundred thirty-two million, forty-one thousand, three hundred thirty-two".