431111131000 has 128 divisors (see below), whose sum is σ = 1101217628160. Its totient is φ = 156666768000.

The previous prime is 431111130941. The next prime is 431111131043. The reversal of 431111131000 is 131111134.

It is a super-2 number, since 2×431111131000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18281217 + ... + 18304783.

It is an arithmetic number, because the mean of its divisors is an integer number (8603262720).

Almost surely, 2^431111131000 is an apocalyptic number.

431111131000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431111131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550608814080).

431111131000 is an abundant number, since it is smaller than the sum of its proper divisors (670106497160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431111131000 is a wasteful number, since it uses less digits than its factorization.

431111131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25262 (or 25248 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 431111131000 its reverse (131111134), we get a palindrome (431242242134).

The spelling of 431111131000 in words is "four hundred thirty-one billion, one hundred eleven million, one hundred thirty-one thousand".