102301133020313 has 2 divisors, whose sum is σ = 102301133020314. Its totient is φ = 102301133020312.

The previous prime is 102301133020253. The next prime is 102301133020319. The reversal of 102301133020313 is 313020331103201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102162203131024 + 138929889289 = 10107532^2 + 372733^2 .

It is a cyclic number.

It is not a de Polignac number, because 102301133020313 - 2³⁶ = 102232413543577 is a prime.

It is a super-3 number, since 3×102301133020313³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102301133020319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51150566510156 + 51150566510157.

It is an arithmetic number, because the mean of its divisors is an integer number (51150566510157).

Almost surely, 2^{102301133020313} is an apocalyptic number.

It is an amenable number.

102301133020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102301133020313 is an equidigital number, since it uses as much as digits as its factorization.

102301133020313 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 23.

Adding to 102301133020313 its reverse (313020331103201), we get a palindrome (415321464123514).

The spelling of 102301133020313 in words is "one hundred two trillion, three hundred one billion, one hundred thirty-three million, twenty thousand, three hundred thirteen".