42003122031 has 144 divisors (see below), whose sum is σ = 71896773312. Its totient is φ = 23425459200.

The previous prime is 42003121997. The next prime is 42003122039. The reversal of 42003122031 is 13022130024.

It is not a de Polignac number, because 42003122031 - 2¹³ = 42003113839 is a prime.

It is a super-2 number, since 2×42003122031² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42003121995 and 42003122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003122039) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 531685050 + ... + 531685128.

It is an arithmetic number, because the mean of its divisors is an integer number (499283148).

Almost surely, 2^42003122031 is an apocalyptic number.

42003122031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

42003122031 is a deficient number, since it is larger than the sum of its proper divisors (29893651281).

42003122031 is a wasteful number, since it uses less digits than its factorization.

42003122031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42003122031 its reverse (13022130024), we get a palindrome (55025252055).

The spelling of 42003122031 in words is "forty-two billion, three million, one hundred twenty-two thousand, thirty-one".