20102312010113 has 2 divisors, whose sum is σ = 20102312010114. Its totient is φ = 20102312010112.

The previous prime is 20102312010101. The next prime is 20102312010197. The reversal of 20102312010113 is 31101021320102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11398679173249 + 8703632836864 = 3376193^2 + 2950192^2 .

It is a cyclic number.

It is not a de Polignac number, because 20102312010113 - 2⁴⁰ = 19002800382337 is a prime.

It is a super-2 number, since 2×20102312010113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102312010091 and 20102312010100.

It is not a weakly prime, because it can be changed into another prime (20102312016113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10051156005056 + 10051156005057.

It is an arithmetic number, because the mean of its divisors is an integer number (10051156005057).

Almost surely, 2^{20102312010113} is an apocalyptic number.

It is an amenable number.

20102312010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

20102312010113 is an equidigital number, since it uses as much as digits as its factorization.

20102312010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 20102312010113 its reverse (31101021320102), we get a palindrome (51203333330215).

The spelling of 20102312010113 in words is "twenty trillion, one hundred two billion, three hundred twelve million, ten thousand, one hundred thirteen".