102010020232013 has 2 divisors, whose sum is σ = 102010020232014. Its totient is φ = 102010020232012.

The previous prime is 102010020232007. The next prime is 102010020232019. The reversal of 102010020232013 is 310232020010201.

It is a balanced prime because it is at equal distance from previous prime (102010020232007) and next prime (102010020232019).

It can be written as a sum of positive squares in only one way, i.e., 91470822865444 + 10539197366569 = 9564038^2 + 3246413^2 .

It is an emirp because it is prime and its reverse (310232020010201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102010020232013 - 2²⁰ = 102010019183437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010020231982 and 102010020232000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102010020232019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005010116006 + 51005010116007.

It is an arithmetic number, because the mean of its divisors is an integer number (51005010116007).

Almost surely, 2^{102010020232013} is an apocalyptic number.

It is an amenable number.

102010020232013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010020232013 is an equidigital number, since it uses as much as digits as its factorization.

102010020232013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102010020232013 its reverse (310232020010201), we get a palindrome (412242040242214).

The spelling of 102010020232013 in words is "one hundred two trillion, ten billion, twenty million, two hundred thirty-two thousand, thirteen".