31049121286820 has 192 divisors, whose sum is σ = 81525057417216. Its totient is φ = 9670902474240.

The previous prime is 31049121286811. The next prime is 31049121286831. The reversal of 31049121286820 is 2868212194013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72537467 + ... + 72964253.

It is an arithmetic number, because the mean of its divisors is an integer number (424609674048).

Almost surely, 2^{31049121286820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31049121286820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40762528708608).

31049121286820 is an abundant number, since it is smaller than the sum of its proper divisors (50475936130396).

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

31049121286820 is a wasteful number, since it uses less digits than its factorization.

31049121286820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427450 (or 427448 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 31049121286820 in words is "thirty-one trillion, forty-nine billion, one hundred twenty-one million, two hundred eighty-six thousand, eight hundred twenty".