1002010106413 has 2 divisors, whose sum is σ = 1002010106414. Its totient is φ = 1002010106412.

The previous prime is 1002010106381. The next prime is 1002010106431. The reversal of 1002010106413 is 3146010102001.

Together with next prime (1002010106431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 684289619524 + 317720486889 = 827218^2 + 563667^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002010106413 - 2⁵ = 1002010106381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002010106113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501005053206 + 501005053207.

It is an arithmetic number, because the mean of its divisors is an integer number (501005053207).

Almost surely, 2^{1002010106413} is an apocalyptic number.

It is an amenable number.

1002010106413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002010106413 is an equidigital number, since it uses as much as digits as its factorization.

1002010106413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1002010106413 its reverse (3146010102001), we get a palindrome (4148020208414).

The spelling of 1002010106413 in words is "one trillion, two billion, ten million, one hundred six thousand, four hundred thirteen".