1023122235313 has 2 divisors, whose sum is σ = 1023122235314. Its totient is φ = 1023122235312.

The previous prime is 1023122235293. The next prime is 1023122235341. The reversal of 1023122235313 is 3135322213201.

It is an a-pointer prime, because the next prime (1023122235341) can be obtained adding 1023122235313 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 940033019809 + 83089215504 = 969553^2 + 288252^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023122235313 - 2²⁵ = 1023088680881 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023122235713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511561117656 + 511561117657.

It is an arithmetic number, because the mean of its divisors is an integer number (511561117657).

Almost surely, 2^{1023122235313} is an apocalyptic number.

It is an amenable number.

1023122235313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023122235313 is an equidigital number, since it uses as much as digits as its factorization.

1023122235313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 1023122235313 its reverse (3135322213201), we get a palindrome (4158444448514).

The spelling of 1023122235313 in words is "one trillion, twenty-three billion, one hundred twenty-two million, two hundred thirty-five thousand, three hundred thirteen".