431114044101 has 64 divisors (see below), whose sum is σ = 666900218880. Its totient is φ = 245358305280.

The previous prime is 431114044087. The next prime is 431114044147. The reversal of 431114044101 is 101440411134.

It is not a de Polignac number, because 431114044101 - 2²⁶ = 431046935237 is a prime.

It is a super-2 number, since 2×431114044101² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431114046101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13099695 + ... + 13132563.

It is an arithmetic number, because the mean of its divisors is an integer number (10420315920).

Almost surely, 2^431114044101 is an apocalyptic number.

It is an amenable number.

431114044101 is a deficient number, since it is larger than the sum of its proper divisors (235786174779).

431114044101 is a wasteful number, since it uses less digits than its factorization.

431114044101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33246.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 431114044101 its reverse (101440411134), we get a palindrome (532554455235).

The spelling of 431114044101 in words is "four hundred thirty-one billion, one hundred fourteen million, forty-four thousand, one hundred one".