431401121001 has 12 divisors (see below), whose sum is σ = 638333366580. Its totient is φ = 280586094720.

The previous prime is 431401120999. The next prime is 431401121051. The reversal of 431401121001 is 100121104134.

It can be written as a sum of positive squares in 2 ways, for example, as 166505618601 + 264895502400 = 408051^2 + 514680^2 .

It is not a de Polignac number, because 431401121001 - 2¹ = 431401120999 is a prime.

It is a super-2 number, since 2×431401121001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431401121051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584553996 + ... + 584554733.

It is an arithmetic number, because the mean of its divisors is an integer number (53194447215).

Almost surely, 2^431401121001 is an apocalyptic number.

431401121001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431401121001 is a deficient number, since it is larger than the sum of its proper divisors (206932245579).

431401121001 is a wasteful number, since it uses less digits than its factorization.

431401121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169108776 (or 1169108773 counting only the distinct ones).

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

Adding to 431401121001 its reverse (100121104134), we get a palindrome (531522225135).

The spelling of 431401121001 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty-one thousand, one".