10123233312253 has 2 divisors, whose sum is σ = 10123233312254. Its totient is φ = 10123233312252.

The previous prime is 10123233312223. The next prime is 10123233312259. The reversal of 10123233312253 is 35221333232101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7354743313369 + 2768489998884 = 2711963^2 + 1663878^2 .

It is an emirp because it is prime and its reverse (35221333232101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123233312253 - 2¹⁷ = 10123233181181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123233312259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061616656126 + 5061616656127.

It is an arithmetic number, because the mean of its divisors is an integer number (5061616656127).

Almost surely, 2^{10123233312253} is an apocalyptic number.

It is an amenable number.

10123233312253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123233312253 is an equidigital number, since it uses as much as digits as its factorization.

10123233312253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 10123233312253 its reverse (35221333232101), we get a palindrome (45344566544354).

The spelling of 10123233312253 in words is "ten trillion, one hundred twenty-three billion, two hundred thirty-three million, three hundred twelve thousand, two hundred fifty-three".