10123312212113 has 2 divisors, whose sum is σ = 10123312212114. Its totient is φ = 10123312212112.

The previous prime is 10123312211989. The next prime is 10123312212121. The reversal of 10123312212113 is 31121221332101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6887386130689 + 3235926081424 = 2624383^2 + 1798868^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123312212113 - 2³⁶ = 10054592735377 is a prime.

It is not a weakly prime, because it can be changed into another prime (10123312212173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061656106056 + 5061656106057.

It is an arithmetic number, because the mean of its divisors is an integer number (5061656106057).

Almost surely, 2^{10123312212113} is an apocalyptic number.

It is an amenable number.

10123312212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123312212113 is an equidigital number, since it uses as much as digits as its factorization.

10123312212113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10123312212113 its reverse (31121221332101), we get a palindrome (41244533544214).

The spelling of 10123312212113 in words is "ten trillion, one hundred twenty-three billion, three hundred twelve million, two hundred twelve thousand, one hundred thirteen".