1021333131313 has 16 divisors (see below), whose sum is σ = 1179762598080. Its totient is φ = 873837619200.

The previous prime is 1021333131223. The next prime is 1021333131323. The reversal of 1021333131313 is 3131313331201.

It is a cyclic number.

It is not a de Polignac number, because 1021333131313 - 2¹³ = 1021333123121 is a prime.

It is a super-2 number, since 2×1021333131313² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021333131323) 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 15 ways as a sum of consecutive naturals, for example, 6559873 + ... + 6713761.

It is an arithmetic number, because the mean of its divisors is an integer number (73735162380).

Almost surely, 2^{1021333131313} is an apocalyptic number.

It is an amenable number.

1021333131313 is a deficient number, since it is larger than the sum of its proper divisors (158429466767).

1021333131313 is a wasteful number, since it uses less digits than its factorization.

1021333131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189408.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1021333131313 its reverse (3131313331201), we get a palindrome (4152646462514).

The spelling of 1021333131313 in words is "one trillion, twenty-one billion, three hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".