3031213317444 has 405 divisors, whose sum is σ = 8905899981251. Its totient is φ = 869126169600.

The previous prime is 3031213317421. The next prime is 3031213317469. The reversal of 3031213317444 is 4447133121303.

The square root of 3031213317444 is 1741038.

It is a perfect power (a square), and thus also a powerful number.

3031213317444 is a `hidden beast` number, since 3 + 0 + 312 + 1 + 331 + 7 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 3000828644100 + 30384673344 = 1732290^2 + 174312^2 .

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 = 3031213317399 and 3031213317408.

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 134 ways as a sum of consecutive naturals, for example, 30012012994 + ... + 30012013094.

Almost surely, 2^{3031213317444} is an apocalyptic number.

3031213317444 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3031213317444 is the 1741038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031213317444

3031213317444 is an abundant number, since it is smaller than the sum of its proper divisors (5874686663807).

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

3031213317444 is a wasteful number, since it uses less digits than its factorization.

3031213317444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Multiplying 3031213317444 by its sum of digits (36), we get a square (109123679427984 = 10446228²).

3031213317444 divided by its sum of digits (36) gives a square (84200369929 = 290173²).

Adding to 3031213317444 its reverse (4447133121303), we get a palindrome (7478346438747).

The spelling of 3031213317444 in words is "three trillion, thirty-one billion, two hundred thirteen million, three hundred seventeen thousand, four hundred forty-four".