1003112001413 has 2 divisors, whose sum is σ = 1003112001414. Its totient is φ = 1003112001412.

The previous prime is 1003112001391. The next prime is 1003112001421. The reversal of 1003112001413 is 3141002113001.

1003112001413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583851866404 + 419260135009 = 764102^2 + 647503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003112001413 - 2⁶ = 1003112001349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003112001391 and 1003112001400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003112001313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501556000706 + 501556000707.

It is an arithmetic number, because the mean of its divisors is an integer number (501556000707).

Almost surely, 2^{1003112001413} is an apocalyptic number.

It is an amenable number.

1003112001413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003112001413 is an equidigital number, since it uses as much as digits as its factorization.

1003112001413 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 1003112001413 its reverse (3141002113001), we get a palindrome (4144114114414).

The spelling of 1003112001413 in words is "one trillion, three billion, one hundred twelve million, one thousand, four hundred thirteen".