561141131100 has 144 divisors (see below), whose sum is σ = 1773788720256. Its totient is φ = 135832736000.

The previous prime is 561141131099. The next prime is 561141131113. The reversal of 561141131100 is 1131141165.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2108515 + ... + 2359685.

It is an arithmetic number, because the mean of its divisors is an integer number (12317977224).

Almost surely, 2^561141131100 is an apocalyptic number.

561141131100 is a gapful number since it is divisible by the number (50) 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 561141131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886894360128).

561141131100 is an abundant number, since it is smaller than the sum of its proper divisors (1212647589156).

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

561141131100 is a wasteful number, since it uses less digits than its factorization.

561141131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251876 (or 251869 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 561141131100 its reverse (1131141165), we get a palindrome (562272272265).

The spelling of 561141131100 in words is "five hundred sixty-one billion, one hundred forty-one million, one hundred thirty-one thousand, one hundred".