431401120101 has 64 divisors (see below), whose sum is σ = 734132275200. Its totient is φ = 245261737728.

The previous prime is 431401120061. The next prime is 431401120103. The reversal of 431401120101 is 101021104134.

431401120101 is a `hidden beast` number, since 43 + 1 + 401 + 120 + 101 = 666.

It is not a de Polignac number, because 431401120101 - 2⁶ = 431401120037 is a prime.

It is a super-3 number, since 3×431401120101³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431401120103) 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 63 ways as a sum of consecutive naturals, for example, 91338126 + ... + 91342848.

It is an arithmetic number, because the mean of its divisors is an integer number (11470816800).

Almost surely, 2^431401120101 is an apocalyptic number.

It is an amenable number.

431401120101 is a deficient number, since it is larger than the sum of its proper divisors (302731155099).

431401120101 is a wasteful number, since it uses less digits than its factorization.

431401120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 431401120101 its reverse (101021104134), we get a palindrome (532422224235).

The spelling of 431401120101 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty thousand, one hundred one".