101131311304144 has 40 divisors (see below), whose sum is σ = 213756802206912. Its totient is φ = 45968350955520.

The previous prime is 101131311304073. The next prime is 101131311304187. The reversal of 101131311304144 is 441403113131101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16736752 + ... + 21963184.

Almost surely, 2^{101131311304144} is an apocalyptic number.

It is an amenable number.

101131311304144 is an abundant number, since it is smaller than the sum of its proper divisors (112625490902768).

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

101131311304144 is a wasteful number, since it uses less digits than its factorization.

101131311304144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336395 (or 5336389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 101131311304144 its reverse (441403113131101), we get a palindrome (542534424435245).

The spelling of 101131311304144 in words is "one hundred one trillion, one hundred thirty-one billion, three hundred eleven million, three hundred four thousand, one hundred forty-four".