431134200241001 has 16 divisors (see below), whose sum is σ = 452243901110400. Its totient is φ = 410608747486080.

The previous prime is 431134200240983. The next prime is 431134200241007. The reversal of 431134200241001 is 100142002431134.

It is a cyclic number.

It is not a de Polignac number, because 431134200241001 - 2³⁰ = 431133126499177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (431134200241007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498072755 + ... + 498937608.

It is an arithmetic number, because the mean of its divisors is an integer number (28265243819400).

Almost surely, 2^{431134200241001} is an apocalyptic number.

431134200241001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431134200241001 is a deficient number, since it is larger than the sum of its proper divisors (21109700869399).

431134200241001 is a wasteful number, since it uses less digits than its factorization.

431134200241001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997010656.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 431134200241001 its reverse (100142002431134), we get a palindrome (531276202672135).

The spelling of 431134200241001 in words is "four hundred thirty-one trillion, one hundred thirty-four billion, two hundred million, two hundred forty-one thousand, one".