63131055013136 has 160 divisors (see below), whose sum is σ = 139430678365440. Its totient is φ = 27410265907200.

The previous prime is 63131055013133. The next prime is 63131055013211.

63131055013136 is nontrivially palindromic in base 10.

63131055013136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 63131055013136.

It is not an unprimeable number, because it can be changed into a prime (63131055013133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12347162516 + ... + 12347167628.

It is an arithmetic number, because the mean of its divisors is an integer number (871441739784).

Almost surely, 2^{63131055013136} 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 63131055013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69715339182720).

63131055013136 is an abundant number, since it is smaller than the sum of its proper divisors (76299623352304).

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

63131055013136 is a wasteful number, since it uses less digits than its factorization.

63131055013136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 38.

The spelling of 63131055013136 in words is "sixty-three trillion, one hundred thirty-one billion, fifty-five million, thirteen thousand, one hundred thirty-six".