1023311013313 has 8 divisors (see below), whose sum is σ = 1088156022408. Its totient is φ = 958982697984.

The previous prime is 1023311013269. The next prime is 1023311013377. The reversal of 1023311013313 is 3133101133201.

It can be written as a sum of positive squares in 4 ways, for example, as 3245353024 + 1020065660289 = 56968^2 + 1009983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1023311013313 - 2²⁵ = 1023277458881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1023311013013) 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 in 7 ways as a sum of consecutive naturals, for example, 129169356 + ... + 129177277.

It is an arithmetic number, because the mean of its divisors is an integer number (136019502801).

Almost surely, 2^{1023311013313} is an apocalyptic number.

It is an amenable number.

1023311013313 is a deficient number, since it is larger than the sum of its proper divisors (64845009095).

1023311013313 is a wasteful number, since it uses less digits than its factorization.

1023311013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258346883.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1023311013313 its reverse (3133101133201), we get a palindrome (4156412146514).

The spelling of 1023311013313 in words is "one trillion, twenty-three billion, three hundred eleven million, thirteen thousand, three hundred thirteen".