1023121313 has 2 divisors, whose sum is σ = 1023121314. Its totient is φ = 1023121312.

The previous prime is 1023121279. The next prime is 1023121409. The reversal of 1023121313 is 3131213201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 982007569 + 41113744 = 31337^2 + 6412^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023121313 - 2¹⁰ = 1023120289 is a prime.

It is a super-2 number, since 2×1023121313² = 2093554442229687938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023121291 and 1023121300.

It is not a weakly prime, because it can be changed into another prime (1023120313) 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, 511560656 + 511560657.

It is an arithmetic number, because the mean of its divisors is an integer number (511560657).

Almost surely, 2^1023121313 is an apocalyptic number.

It is an amenable number.

1023121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023121313 is an equidigital number, since it uses as much as digits as its factorization.

1023121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1023121313 is about 31986.2675690678. The cubic root of 1023121313 is about 1007.6484563074.

Adding to 1023121313 its reverse (3131213201), we get a palindrome (4154334514).

The spelling of 1023121313 in words is "one billion, twenty-three million, one hundred twenty-one thousand, three hundred thirteen".