1020002312113 has 2 divisors, whose sum is σ = 1020002312114. Its totient is φ = 1020002312112.

The previous prime is 1020002312083. The next prime is 1020002312201. The reversal of 1020002312113 is 3112132000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 979094418064 + 40907894049 = 989492^2 + 202257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020002312113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020002312213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510001156056 + 510001156057.

It is an arithmetic number, because the mean of its divisors is an integer number (510001156057).

Almost surely, 2^{1020002312113} is an apocalyptic number.

It is an amenable number.

1020002312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020002312113 is an equidigital number, since it uses as much as digits as its factorization.

1020002312113 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 16.

Adding to 1020002312113 its reverse (3112132000201), we get a palindrome (4132134312314).

The spelling of 1020002312113 in words is "one trillion, twenty billion, two million, three hundred twelve thousand, one hundred thirteen".