302120331431013 has 24 divisors (see below), whose sum is σ = 441563771914200. Its totient is φ = 199031156527104.

The previous prime is 302120331430969. The next prime is 302120331431027. The reversal of 302120331431013 is 310134133021203.

302120331431013 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 2 + 0 + 331 + 4 + 310 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3317232040929 + 298803099390084 = 1821327^2 + 17285922^2 .

It is a de Polignac number, because none of the positive numbers 2^k-302120331431013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302120331431063) 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 23 ways as a sum of consecutive naturals, for example, 111658620 + ... + 114332357.

It is an arithmetic number, because the mean of its divisors is an integer number (18398490496425).

Almost surely, 2^{302120331431013} is an apocalyptic number.

It is an amenable number.

302120331431013 is a deficient number, since it is larger than the sum of its proper divisors (139443440483187).

302120331431013 is a wasteful number, since it uses less digits than its factorization.

302120331431013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225992741 (or 225992738 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 302120331431013 its reverse (310134133021203), we get a palindrome (612254464452216).

The spelling of 302120331431013 in words is "three hundred two trillion, one hundred twenty billion, three hundred thirty-one million, four hundred thirty-one thousand, thirteen".