10210011120013 has 2 divisors, whose sum is σ = 10210011120014. Its totient is φ = 10210011120012.

The previous prime is 10210011120007. The next prime is 10210011120041. The reversal of 10210011120013 is 31002111001201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6020530820329 + 4189480299684 = 2453677^2 + 2046822^2 .

It is a cyclic number.

It is not a de Polignac number, because 10210011120013 - 2⁴¹ = 8010987864461 is a prime.

It is a super-2 number, since 2×10210011120013² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210011119975 and 10210011120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10210011127013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005560006 + 5105005560007.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005560007).

Almost surely, 2^{10210011120013} is an apocalyptic number.

It is an amenable number.

10210011120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210011120013 is an equidigital number, since it uses as much as digits as its factorization.

10210011120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10210011120013 its reverse (31002111001201), we get a palindrome (41212122121214).

The spelling of 10210011120013 in words is "ten trillion, two hundred ten billion, eleven million, one hundred twenty thousand, thirteen".