331002301113 has 24 divisors (see below), whose sum is σ = 525560926176. Its totient is φ = 199076092800.

The previous prime is 331002301093. The next prime is 331002301139. The reversal of 331002301113 is 311103200133.

It is a happy number.

It is not a de Polignac number, because 331002301113 - 2¹⁷ = 331002170041 is a prime.

It is a super-2 number, since 2×331002301113² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331002301153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12748320 + ... + 12774257.

It is an arithmetic number, because the mean of its divisors is an integer number (21898371924).

Almost surely, 2^331002301113 is an apocalyptic number.

331002301113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331002301113 is a deficient number, since it is larger than the sum of its proper divisors (194558625063).

331002301113 is a wasteful number, since it uses less digits than its factorization.

331002301113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25522725 (or 25522722 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331002301113 its reverse (311103200133), we get a palindrome (642105501246).

The spelling of 331002301113 in words is "three hundred thirty-one billion, two million, three hundred one thousand, one hundred thirteen".