100000144100131 has 16 divisors (see below), whose sum is σ = 112971996311040. Its totient is φ = 87681734066080.

The previous prime is 100000144100123. The next prime is 100000144100159. The reversal of 100000144100131 is 131001441000001.

It is not a de Polignac number, because 100000144100131 - 2³ = 100000144100123 is a prime.

It is a super-2 number, since 2×100000144100131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000144100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165210091 + ... + 165814276.

It is an arithmetic number, because the mean of its divisors is an integer number (7060749769440).

Almost surely, 2^{100000144100131} is an apocalyptic number.

100000144100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100000144100131 is a deficient number, since it is larger than the sum of its proper divisors (12971852210909).

100000144100131 is a wasteful number, since it uses less digits than its factorization.

100000144100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331025354.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100000144100131 its reverse (131001441000001), we get a palindrome (231001585100132).

The spelling of 100000144100131 in words is "one hundred trillion, one hundred forty-four million, one hundred thousand, one hundred thirty-one".