431142104511001 has 64 divisors (see below), whose sum is σ = 510536191334400. Its totient is φ = 360254027943936.

The previous prime is 431142104510951. The next prime is 431142104511043. The reversal of 431142104511001 is 100115401241134.

It is a cyclic number.

It is not a de Polignac number, because 431142104511001 - 2¹⁵ = 431142104478233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431142104511401) 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, 15907528216 + ... + 15907555318.

It is an arithmetic number, because the mean of its divisors is an integer number (7977127989600).

Almost surely, 2^{431142104511001} is an apocalyptic number.

It is an amenable number.

431142104511001 is a deficient number, since it is larger than the sum of its proper divisors (79394086823399).

431142104511001 is a wasteful number, since it uses less digits than its factorization.

431142104511001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36658.

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 431142104511001 its reverse (100115401241134), we get a palindrome (531257505752135).

The spelling of 431142104511001 in words is "four hundred thirty-one trillion, one hundred forty-two billion, one hundred four million, five hundred eleven thousand, one".