1021013123113 has 2 divisors, whose sum is σ = 1021013123114. Its totient is φ = 1021013123112.

The previous prime is 1021013123099. The next prime is 1021013123131. The reversal of 1021013123113 is 3113213101201.

Together with next prime (1021013123131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1010561741289 + 10451381824 = 1005267^2 + 102232^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021013123113 - 2²⁵ = 1020979568681 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021013133113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510506561556 + 510506561557.

It is an arithmetic number, because the mean of its divisors is an integer number (510506561557).

Almost surely, 2^{1021013123113} is an apocalyptic number.

It is an amenable number.

1021013123113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021013123113 is an equidigital number, since it uses as much as digits as its factorization.

1021013123113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1021013123113 its reverse (3113213101201), we get a palindrome (4134226224314).

The spelling of 1021013123113 in words is "one trillion, twenty-one billion, thirteen million, one hundred twenty-three thousand, one hundred thirteen".