1023333331201 has 2 divisors, whose sum is σ = 1023333331202. Its totient is φ = 1023333331200.

The previous prime is 1023333331199. The next prime is 1023333331249. The reversal of 1023333331201 is 1021333333201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 930161873601 + 93171457600 = 964449^2 + 305240^2 .

It is an emirp because it is prime and its reverse (1021333333201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023333331201 - 2¹ = 1023333331199 is a prime.

It is a super-2 number, since 2×1023333331201² (a number of 25 digits) contains 22 as substring.

Together with 1023333331199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1023333331261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511666665600 + 511666665601.

It is an arithmetic number, because the mean of its divisors is an integer number (511666665601).

Almost surely, 2^{1023333331201} is an apocalyptic number.

It is an amenable number.

1023333331201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023333331201 is an equidigital number, since it uses as much as digits as its factorization.

1023333331201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 1023333331201 its reverse (1021333333201), we get a palindrome (2044666664402).

The spelling of 1023333331201 in words is "one trillion, twenty-three billion, three hundred thirty-three million, three hundred thirty-one thousand, two hundred one".