10112010111013 has 2 divisors, whose sum is σ = 10112010111014. Its totient is φ = 10112010111012.

The previous prime is 10112010111001. The next prime is 10112010111023. The reversal of 10112010111013 is 31011101021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7079947107489 + 3032063003524 = 2660817^2 + 1741282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10112010111013 is a prime.

It is a super-3 number, since 3×10112010111013³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10112010110984 and 10112010111002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112010111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056005055506 + 5056005055507.

It is an arithmetic number, because the mean of its divisors is an integer number (5056005055507).

Almost surely, 2^{10112010111013} is an apocalyptic number.

It is an amenable number.

10112010111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112010111013 is an equidigital number, since it uses as much as digits as its factorization.

10112010111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10112010111013 its reverse (31011101021101), we get a palindrome (41123111132114).

The spelling of 10112010111013 in words is "ten trillion, one hundred twelve billion, ten million, one hundred eleven thousand, thirteen".