42033101331 has 16 divisors (see below), whose sum is σ = 60359581856. Its totient is φ = 25864655616.

The previous prime is 42033101287. The next prime is 42033101333. The reversal of 42033101331 is 13310133024.

42033101331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42033101331 - 2⁹ = 42033100819 is a prime.

It is a super-2 number, since 2×42033101331² (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 = 42033101298 and 42033101307.

It is not an unprimeable number, because it can be changed into a prime (42033101333) 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, 672591 + ... + 732423.

It is an arithmetic number, because the mean of its divisors is an integer number (3772473866).

Almost surely, 2^42033101331 is an apocalyptic number.

42033101331 is a deficient number, since it is larger than the sum of its proper divisors (18326480525).

42033101331 is a wasteful number, since it uses less digits than its factorization.

42033101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77862.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 42033101331 its reverse (13310133024), we get a palindrome (55343234355).

The spelling of 42033101331 in words is "forty-two billion, thirty-three million, one hundred one thousand, three hundred thirty-one".