131141131000 has 192 divisors, whose sum is σ = 338179121280. Its totient is φ = 47564000000.

The previous prime is 131141130959. The next prime is 131141131003. The reversal of 131141131000 is 131141131.

It is a super-2 number, since 2×131141131000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141131003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55779825 + ... + 55782175.

It is an arithmetic number, because the mean of its divisors is an integer number (1761349590).

Almost surely, 2^131141131000 is an apocalyptic number.

131141131000 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 131141131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169089560640).

131141131000 is an abundant number, since it is smaller than the sum of its proper divisors (207037990280).

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

131141131000 is a wasteful number, since it uses less digits than its factorization.

131141131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 131141131000 its reverse (131141131), we get a palindrome (131272272131).

131141131000 divided by its reverse (131141131) gives a cube (1000 = 10³).

The spelling of 131141131000 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred thirty-one thousand".