102000010331113 has 2 divisors, whose sum is σ = 102000010331114. Its totient is φ = 102000010331112.

The previous prime is 102000010331111. The next prime is 102000010331173. The reversal of 102000010331113 is 311133010000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101596158978064 + 403851353049 = 10079492^2 + 635493^2 .

It is a cyclic number.

It is not a de Polignac number, because 102000010331113 - 2¹ = 102000010331111 is a prime.

Together with 102000010331111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102000010331111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000005165556 + 51000005165557.

It is an arithmetic number, because the mean of its divisors is an integer number (51000005165557).

Almost surely, 2^{102000010331113} is an apocalyptic number.

It is an amenable number.

102000010331113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102000010331113 is an equidigital number, since it uses as much as digits as its factorization.

102000010331113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 102000010331113 its reverse (311133010000201), we get a palindrome (413133020331314).

The spelling of 102000010331113 in words is "one hundred two trillion, ten million, three hundred thirty-one thousand, one hundred thirteen".