31144301343342 has 128 divisors (see below), whose sum is σ = 75934236672000. Its totient is φ = 9383570051040.

The previous prime is 31144301343329. The next prime is 31144301343427. The reversal of 31144301343342 is 24334310344113.

31144301343342 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 4 + 301 + 3 + 4 + 3 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31144301343297 and 31144301343306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 907900563 + ... + 907934865.

It is an arithmetic number, because the mean of its divisors is an integer number (593236224000).

Almost surely, 2^{31144301343342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31144301343342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37967118336000).

31144301343342 is an abundant number, since it is smaller than the sum of its proper divisors (44789935328658).

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

31144301343342 is a wasteful number, since it uses less digits than its factorization.

31144301343342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43043 (or 43037 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31144301343342 its reverse (24334310344113), we get a palindrome (55478611687455).

The spelling of 31144301343342 in words is "thirty-one trillion, one hundred forty-four billion, three hundred one million, three hundred forty-three thousand, three hundred forty-two".