205140132131 has 16 divisors (see below), whose sum is σ = 228820491648. Its totient is φ = 182344646400.

The previous prime is 205140132101. The next prime is 205140132199. The reversal of 205140132131 is 131231041502.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-205140132131 is a prime.

It is a super-2 number, since 2×205140132131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205140132097 and 205140132106.

It is not an unprimeable number, because it can be changed into a prime (205140132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069625 + ... + 1246746.

It is an arithmetic number, because the mean of its divisors is an integer number (14301280728).

Almost surely, 2^205140132131 is an apocalyptic number.

205140132131 is a deficient number, since it is larger than the sum of its proper divisors (23680359517).

205140132131 is a wasteful number, since it uses less digits than its factorization.

205140132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316562.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 205140132131 its reverse (131231041502), we get a palindrome (336371173633).

The spelling of 205140132131 in words is "two hundred five billion, one hundred forty million, one hundred thirty-two thousand, one hundred thirty-one".