3131212320100 has 72 divisors (see below), whose sum is σ = 6871810176000. Its totient is φ = 1238279750400.

The previous prime is 3131212320091. The next prime is 3131212320191. The reversal of 3131212320100 is 10232121313.

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, 156621105 + ... + 156641095.

It is an arithmetic number, because the mean of its divisors is an integer number (95441808000).

Almost surely, 2^{3131212320100} 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 3131212320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435905088000).

3131212320100 is an abundant number, since it is smaller than the sum of its proper divisors (3740597855900).

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

3131212320100 is a wasteful number, since it uses less digits than its factorization.

3131212320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37693 (or 37686 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 3131212320100 its reverse (10232121313), we get a palindrome (3141444441413).

The spelling of 3131212320100 in words is "three trillion, one hundred thirty-one billion, two hundred twelve million, three hundred twenty thousand, one hundred".