331242242133 has 32 divisors (see below), whose sum is σ = 483296182272. Its totient is φ = 200132856000.

The previous prime is 331242242131. The next prime is 331242242179.

It is a happy number.

331242242133 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 331242242133 - 2¹ = 331242242131 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331242242133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331242242131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33450483 + ... + 33460383.

It is an arithmetic number, because the mean of its divisors is an integer number (15103005696).

Almost surely, 2^331242242133 is an apocalyptic number.

331242242133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331242242133 is a deficient number, since it is larger than the sum of its proper divisors (152053940139).

331242242133 is a wasteful number, since it uses less digits than its factorization.

331242242133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12945.

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 331242 and 242133, that added together give a palindrome (573375).

The spelling of 331242242133 in words is "three hundred thirty-one billion, two hundred forty-two million, two hundred forty-two thousand, one hundred thirty-three".