31211313100 has 144 divisors (see below), whose sum is σ = 75806085600. Its totient is φ = 11057612800.

The previous prime is 31211313097. The next prime is 31211313101. The reversal of 31211313100 is 131311213.

It is a super-2 number, since 2×31211313100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31211313101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8684904 + ... + 8688496.

It is an arithmetic number, because the mean of its divisors is an integer number (526431150).

Almost surely, 2^31211313100 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 31211313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37903042800).

31211313100 is an abundant number, since it is smaller than the sum of its proper divisors (44594772500).

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

31211313100 is a wasteful number, since it uses less digits than its factorization.

31211313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31211313100 its reverse (131311213), we get a palindrome (31342624313).

The spelling of 31211313100 in words is "thirty-one billion, two hundred eleven million, three hundred thirteen thousand, one hundred".