10205111431 has 16 divisors (see below), whose sum is σ = 10817544960. Its totient is φ = 9607308480.

The previous prime is 10205111419. The next prime is 10205111453. The reversal of 10205111431 is 13411150201.

It is a cyclic number.

It is not a de Polignac number, because 10205111431 - 2¹⁹ = 10204587143 is a prime.

It is a super-2 number, since 2×10205111431² (a number of 21 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 = 10205111399 and 10205111408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205111461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818200 + ... + 830578.

It is an arithmetic number, because the mean of its divisors is an integer number (676096560).

Almost surely, 2^10205111431 is an apocalyptic number.

10205111431 is a deficient number, since it is larger than the sum of its proper divisors (612433529).

10205111431 is a wasteful number, since it uses less digits than its factorization.

10205111431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12966.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 10205111431 its reverse (13411150201), we get a palindrome (23616261632).

The spelling of 10205111431 in words is "ten billion, two hundred five million, one hundred eleven thousand, four hundred thirty-one".