431431310100 has 144 divisors (see below), whose sum is σ = 1426989916800. Its totient is φ = 98585886720.

The previous prime is 431431310059. The next prime is 431431310143. The reversal of 431431310100 is 1013134134.

It is a super-2 number, since 2×431431310100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8224756 + ... + 8277044.

It is an arithmetic number, because the mean of its divisors is an integer number (9909652200).

Almost surely, 2^431431310100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431431310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713494958400).

431431310100 is an abundant number, since it is smaller than the sum of its proper divisors (995558606700).

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

431431310100 is a wasteful number, since it uses less digits than its factorization.

431431310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56242 (or 56235 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 431431310100 its reverse (1013134134), we get a palindrome (432444444234).

The spelling of 431431310100 in words is "four hundred thirty-one billion, four hundred thirty-one million, three hundred ten thousand, one hundred".