31441200100 has 144 divisors (see below), whose sum is σ = 73192065408. Its totient is φ = 11694735360.

The previous prime is 31441200073. The next prime is 31441200121. The reversal of 31441200100 is 100214413.

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, 25416682 + ... + 25417918.

It is an arithmetic number, because the mean of its divisors is an integer number (508278232).

Almost surely, 2^31441200100 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 31441200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36596032704).

31441200100 is an abundant number, since it is smaller than the sum of its proper divisors (41750865308).

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

31441200100 is a wasteful number, since it uses less digits than its factorization.

31441200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 31441200100 its reverse (100214413), we get a palindrome (31541414513).

The spelling of 31441200100 in words is "thirty-one billion, four hundred forty-one million, two hundred thousand, one hundred".