30202112132113 has 2 divisors, whose sum is σ = 30202112132114. Its totient is φ = 30202112132112.

The previous prime is 30202112132107. The next prime is 30202112132119. The reversal of 30202112132113 is 31123121120203.

It is a balanced prime because it is at equal distance from previous prime (30202112132107) and next prime (30202112132119).

It can be written as a sum of positive squares in only one way, i.e., 30201696298449 + 415833664 = 5495607^2 + 20392^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-30202112132113 is a prime.

It is not a weakly prime, because it can be changed into another prime (30202112132119) 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 as a sum of consecutive naturals, namely, 15101056066056 + 15101056066057.

It is an arithmetic number, because the mean of its divisors is an integer number (15101056066057).

Almost surely, 2^{30202112132113} is an apocalyptic number.

It is an amenable number.

30202112132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

30202112132113 is an equidigital number, since it uses as much as digits as its factorization.

30202112132113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 30202112132113 its reverse (31123121120203), we get a palindrome (61325233252316).

The spelling of 30202112132113 in words is "thirty trillion, two hundred two billion, one hundred twelve million, one hundred thirty-two thousand, one hundred thirteen".