101331310442144 has 48 divisors (see below), whose sum is σ = 210021518256480. Its totient is φ = 47993165118720.

The previous prime is 101331310442143. The next prime is 101331310442171. The reversal of 101331310442144 is 441244013133101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 101331310442144.

It is not an unprimeable number, because it can be changed into a prime (101331310442143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5230499 + ... + 15166434.

It is an arithmetic number, because the mean of its divisors is an integer number (4375448297010).

Almost surely, 2^{101331310442144} is an apocalyptic number.

It is an amenable number.

101331310442144 is an abundant number, since it is smaller than the sum of its proper divisors (108690207814336).

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

101331310442144 is a wasteful number, since it uses less digits than its factorization.

101331310442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20405133 (or 20405125 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 101331310442144 its reverse (441244013133101), we get a palindrome (542575323575245).

The spelling of 101331310442144 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred forty-two thousand, one hundred forty-four".