31144034341134 has 192 divisors, whose sum is σ = 79505886882240. Its totient is φ = 8686342748160.

The previous prime is 31144034341087. The next prime is 31144034341177. The reversal of 31144034341134 is 43114343044113.

31144034341134 is a `hidden beast` number, since 3 + 1 + 1 + 440 + 3 + 43 + 41 + 134 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4014954784 + ... + 4014962540.

It is an arithmetic number, because the mean of its divisors is an integer number (414093160845).

Almost surely, 2^{31144034341134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31144034341134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39752943441120).

31144034341134 is an abundant number, since it is smaller than the sum of its proper divisors (48361852541106).

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

31144034341134 is a wasteful number, since it uses less digits than its factorization.

31144034341134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 31144034341134 its reverse (43114343044113), we get a palindrome (74258377385247).

The spelling of 31144034341134 in words is "thirty-one trillion, one hundred forty-four billion, thirty-four million, three hundred forty-one thousand, one hundred thirty-four".