3131106216444 has 72 divisors (see below), whose sum is σ = 7930247860080. Its totient is φ = 1041657926400.

The previous prime is 3131106216397. The next prime is 3131106216461. The reversal of 3131106216444 is 4446126011313.

3131106216444 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 0 + 6 + 2 + 1 + 644 + 4 = 666.

3131106216444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3131106216444² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3131106216399 and 3131106216408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127418679 + ... + 127443249.

It is an arithmetic number, because the mean of its divisors is an integer number (110142331390).

Almost surely, 2^{3131106216444} is an apocalyptic number.

It is an amenable number.

3131106216444 is an abundant number, since it is smaller than the sum of its proper divisors (4799141643636).

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

3131106216444 is a wasteful number, since it uses less digits than its factorization.

3131106216444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31371 (or 31366 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3131106216444 in words is "three trillion, one hundred thirty-one billion, one hundred six million, two hundred sixteen thousand, four hundred forty-four".