331002136248121 has 64 divisors (see below), whose sum is σ = 367356077595136. Its totient is φ = 296388398592000.

The previous prime is 331002136248067. The next prime is 331002136248137. The reversal of 331002136248121 is 121842631200133.

It is a de Polignac number, because none of the positive numbers 2^k-331002136248121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331002136248151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8940910591 + ... + 8940947611.

It is an arithmetic number, because the mean of its divisors is an integer number (5739938712424).

Almost surely, 2^{331002136248121} is an apocalyptic number.

It is an amenable number.

331002136248121 is a deficient number, since it is larger than the sum of its proper divisors (36353941347015).

331002136248121 is a wasteful number, since it uses less digits than its factorization.

331002136248121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37842.

The product of its (nonzero) digits is 41472, while the sum is 37.

Adding to 331002136248121 its reverse (121842631200133), we get a palindrome (452844767448254).

The spelling of 331002136248121 in words is "three hundred thirty-one trillion, two billion, one hundred thirty-six million, two hundred forty-eight thousand, one hundred twenty-one".