102133010020313 has 2 divisors, whose sum is σ = 102133010020314. Its totient is φ = 102133010020312.

The previous prime is 102133010020243. The next prime is 102133010020351. The reversal of 102133010020313 is 313020010331201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100801840960144 + 1331169060169 = 10040012^2 + 1153763^2 .

It is an emirp because it is prime and its reverse (313020010331201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102133010020313 - 2³⁸ = 101858132113369 is a prime.

It is not a weakly prime, because it can be changed into another prime (102133000020313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51066505010156 + 51066505010157.

It is an arithmetic number, because the mean of its divisors is an integer number (51066505010157).

Almost surely, 2^{102133010020313} is an apocalyptic number.

It is an amenable number.

102133010020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

102133010020313 is an equidigital number, since it uses as much as digits as its factorization.

102133010020313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102133010020313 its reverse (313020010331201), we get a palindrome (415153020351514).

The spelling of 102133010020313 in words is "one hundred two trillion, one hundred thirty-three billion, ten million, twenty thousand, three hundred thirteen".