1023213131201 has 2 divisors, whose sum is σ = 1023213131202. Its totient is φ = 1023213131200.

The previous prime is 1023213131123. The next prime is 1023213131207. The reversal of 1023213131201 is 1021313123201.

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., 806899772176 + 216313359025 = 898276^2 + 465095^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023213131201 - 2¹⁴ = 1023213114817 is a prime.

It is a super-2 number, since 2×1023213131201² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1023213131207) 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, 511606565600 + 511606565601.

It is an arithmetic number, because the mean of its divisors is an integer number (511606565601).

Almost surely, 2^{1023213131201} is an apocalyptic number.

It is an amenable number.

1023213131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023213131201 is an equidigital number, since it uses as much as digits as its factorization.

1023213131201 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 1023213131201 its reverse (1021313123201), we get a palindrome (2044526254402).

The spelling of 1023213131201 in words is "one trillion, twenty-three billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred one".