102033120300313 has 2 divisors, whose sum is σ = 102033120300314. Its totient is φ = 102033120300312.

The previous prime is 102033120300311. The next prime is 102033120300343. The reversal of 102033120300313 is 313003021330201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94332423150144 + 7700697150169 = 9712488^2 + 2775013^2 .

It is a cyclic number.

It is not a de Polignac number, because 102033120300313 - 2¹ = 102033120300311 is a prime.

Together with 102033120300311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102033120300311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016560150156 + 51016560150157.

It is an arithmetic number, because the mean of its divisors is an integer number (51016560150157).

Almost surely, 2^{102033120300313} is an apocalyptic number.

It is an amenable number.

102033120300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033120300313 is an equidigital number, since it uses as much as digits as its factorization.

102033120300313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 102033120300313 its reverse (313003021330201), we get a palindrome (415036141630514).

The spelling of 102033120300313 in words is "one hundred two trillion, thirty-three billion, one hundred twenty million, three hundred thousand, three hundred thirteen".