3131101000100 has 18 divisors (see below), whose sum is σ = 6794489170434. Its totient is φ = 1252440400000.

The previous prime is 3131101000091. The next prime is 3131101000123. The reversal of 3131101000100 is 10001011313.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 49194352804 + 3081906647296 = 221798^2 + 1755536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15655504901 + ... + 15655505100.

Almost surely, 2^{3131101000100} is an apocalyptic number.

It is an amenable number.

3131101000100 is an abundant number, since it is smaller than the sum of its proper divisors (3663388170334).

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

3131101000100 is a wasteful number, since it uses less digits than its factorization.

3131101000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31311010015 (or 31311010008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 3131101000100 its reverse (10001011313), we get a palindrome (3141102011413).

The spelling of 3131101000100 in words is "three trillion, one hundred thirty-one billion, one hundred one million, one hundred", and thus it is an aban number.