131224161000 has 128 divisors (see below), whose sum is σ = 409814496000. Its totient is φ = 34959340800.

The previous prime is 131224160999. The next prime is 131224161011. The reversal of 131224161000 is 161422131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3168426 + ... + 3209574.

It is an arithmetic number, because the mean of its divisors is an integer number (3201675750).

Almost surely, 2^131224161000 is an apocalyptic number.

131224161000 is a gapful number since it is divisible by the number (10) 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 131224161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204907248000).

131224161000 is an abundant number, since it is smaller than the sum of its proper divisors (278590335000).

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

131224161000 is a wasteful number, since it uses less digits than its factorization.

131224161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42236 (or 42222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131224161000 its reverse (161422131), we get a palindrome (131385583131).

The spelling of 131224161000 in words is "one hundred thirty-one billion, two hundred twenty-four million, one hundred sixty-one thousand".