3131972004100 has 36 divisors (see below), whose sum is σ = 7196166267444. Its totient is φ = 1179095342080.

The previous prime is 3131972004001. The next prime is 3131972004173. The reversal of 3131972004100 is 14002791313.

It can be written as a sum of positive squares in 6 ways, for example, as 10276687876 + 3121695316224 = 101374^2 + 1766832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921166537 + ... + 921169936.

It is an arithmetic number, because the mean of its divisors is an integer number (199893507429).

Almost surely, 2^{3131972004100} is an apocalyptic number.

It is an amenable number.

3131972004100 is an abundant number, since it is smaller than the sum of its proper divisors (4064194263344).

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

3131972004100 is a wasteful number, since it uses less digits than its factorization.

3131972004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842336504 (or 1842336497 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 3131972004100 its reverse (14002791313), we get a palindrome (3145974795413).

The spelling of 3131972004100 in words is "three trillion, one hundred thirty-one billion, nine hundred seventy-two million, four thousand, one hundred".