31331004100 has 72 divisors (see below), whose sum is σ = 74266996608. Its totient is φ = 11378044800.

The previous prime is 31331004083. The next prime is 31331004119. The reversal of 31331004100 is 140013313.

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 23 ways as a sum of consecutive naturals, for example, 831877 + ... + 868723.

It is an arithmetic number, because the mean of its divisors is an integer number (1031486064).

Almost surely, 2^31331004100 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 31331004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37133498304).

31331004100 is an abundant number, since it is smaller than the sum of its proper divisors (42935992508).

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

31331004100 is a wasteful number, since it uses less digits than its factorization.

31331004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37645 (or 37638 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 31331004100 its reverse (140013313), we get a palindrome (31471017413).

The spelling of 31331004100 in words is "thirty-one billion, three hundred thirty-one million, four thousand, one hundred".