31201330100 has 72 divisors (see below), whose sum is σ = 68451999000. Its totient is φ = 12343910400.

The previous prime is 31201330099. The next prime is 31201330117. The reversal of 31201330100 is 103310213.

It can be written as a sum of positive squares in 12 ways, for example, as 4497848356 + 26703481744 = 67066^2 + 163412^2 .

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 23 ways as a sum of consecutive naturals, for example, 3586556 + ... + 3595244.

Almost surely, 2^31201330100 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 31201330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34225999500).

31201330100 is an abundant number, since it is smaller than the sum of its proper divisors (37250668900).

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

31201330100 is a wasteful number, since it uses less digits than its factorization.

31201330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31201330100 its reverse (103310213), we get a palindrome (31304640313).

The spelling of 31201330100 in words is "thirty-one billion, two hundred one million, three hundred thirty thousand, one hundred".