1002100003813 has 2 divisors, whose sum is σ = 1002100003814. Its totient is φ = 1002100003812.

The previous prime is 1002100003811. The next prime is 1002100003837. The reversal of 1002100003813 is 3183000012001.

1002100003813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 848900564164 + 153199439649 = 921358^2 + 391407^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002100003813 - 2¹ = 1002100003811 is a prime.

It is a super-2 number, since 2×1002100003813² (a number of 25 digits) contains 22 as substring.

Together with 1002100003811, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002100003811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050001906 + 501050001907.

It is an arithmetic number, because the mean of its divisors is an integer number (501050001907).

Almost surely, 2^{1002100003813} is an apocalyptic number.

It is an amenable number.

1002100003813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002100003813 is an equidigital number, since it uses as much as digits as its factorization.

1002100003813 is an evil number, because the sum of its binary digits is even.

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

Adding to 1002100003813 its reverse (3183000012001), we get a palindrome (4185100015814).

The spelling of 1002100003813 in words is "one trillion, two billion, one hundred million, three thousand, eight hundred thirteen".