1003112122013 has 2 divisors, whose sum is σ = 1003112122014. Its totient is φ = 1003112122012.

The previous prime is 1003112121943. The next prime is 1003112122097. The reversal of 1003112122013 is 3102212113001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 856731657604 + 146380464409 = 925598^2 + 382597^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112122013 - 2²⁶ = 1003045013149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003112121982 and 1003112122000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003112127013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556061006 + 501556061007.

It is an arithmetic number, because the mean of its divisors is an integer number (501556061007).

Almost surely, 2^{1003112122013} is an apocalyptic number.

It is an amenable number.

1003112122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112122013 is an equidigital number, since it uses as much as digits as its factorization.

1003112122013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1003112122013 its reverse (3102212113001), we get a palindrome (4105324235014).

The spelling of 1003112122013 in words is "one trillion, three billion, one hundred twelve million, one hundred twenty-two thousand, thirteen".