42144100031 has 16 divisors (see below), whose sum is σ = 46306971648. Its totient is φ = 38037480000.

The previous prime is 42144099953. The next prime is 42144100111. The reversal of 42144100031 is 13000144124.

It is a cyclic number.

It is not a de Polignac number, because 42144100031 - 2¹⁴ = 42144083647 is a prime.

It is a super-2 number, since 2×42144100031² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42144099976 and 42144100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144103031) 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, 839810 + ... + 888576.

It is an arithmetic number, because the mean of its divisors is an integer number (2894185728).

Almost surely, 2^42144100031 is an apocalyptic number.

42144100031 is a deficient number, since it is larger than the sum of its proper divisors (4162871617).

42144100031 is a wasteful number, since it uses less digits than its factorization.

42144100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49342.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42144100031 its reverse (13000144124), we get a palindrome (55144244155).

The spelling of 42144100031 in words is "forty-two billion, one hundred forty-four million, one hundred thousand, thirty-one".