10121312001233 has 2 divisors, whose sum is σ = 10121312001234. Its totient is φ = 10121312001232.

The previous prime is 10121312001107. The next prime is 10121312001253. The reversal of 10121312001233 is 33210021312101.

It is a happy number.

It is an a-pointer prime, because the next prime (10121312001253) can be obtained adding 10121312001233 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6577645054864 + 3543666946369 = 2564692^2 + 1882463^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121312001233 - 2²⁰ = 10121310952657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121312001253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060656000616 + 5060656000617.

It is an arithmetic number, because the mean of its divisors is an integer number (5060656000617).

Almost surely, 2^{10121312001233} is an apocalyptic number.

It is an amenable number.

10121312001233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121312001233 is an equidigital number, since it uses as much as digits as its factorization.

10121312001233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10121312001233 its reverse (33210021312101), we get a palindrome (43331333313334).

The spelling of 10121312001233 in words is "ten trillion, one hundred twenty-one billion, three hundred twelve million, one thousand, two hundred thirty-three".