131121304505541 has 36 divisors (see below), whose sum is σ = 220608984502764. Its totient is φ = 74828001628800.

The previous prime is 131121304505507. The next prime is 131121304505591. The reversal of 131121304505541 is 145505403121131.

131121304505541 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 21 + 30 + 4 + 50 + 554 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1977876576900 + 129143427928641 = 1406370^2 + 11364129^2 .

It is not a de Polignac number, because 131121304505541 - 2⁹ = 131121304505029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131121304505496 and 131121304505505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131121304505501) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195017370 + ... + 195688571.

It is an arithmetic number, because the mean of its divisors is an integer number (6128027347299).

Almost surely, 2^{131121304505541} is an apocalyptic number.

It is an amenable number.

131121304505541 is a deficient number, since it is larger than the sum of its proper divisors (89487679997223).

131121304505541 is a wasteful number, since it uses less digits than its factorization.

131121304505541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390706722 (or 390706712 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 131121304505541 its reverse (145505403121131), we get a palindrome (276626707626672).

The spelling of 131121304505541 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred four million, five hundred five thousand, five hundred forty-one".