1020133310213 has 4 divisors (see below), whose sum is σ = 1055310320940. Its totient is φ = 984956299488.

The previous prime is 1020133310191. The next prime is 1020133310227. The reversal of 1020133310213 is 3120133310201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 747960333409 + 272172976804 = 864847^2 + 521702^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020133310213 - 2³⁶ = 951413833477 is a prime.

It is a super-2 number, since 2×1020133310213² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020133310263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17588505320 + ... + 17588505377.

It is an arithmetic number, because the mean of its divisors is an integer number (263827580235).

Almost surely, 2^{1020133310213} is an apocalyptic number.

It is an amenable number.

1020133310213 is a deficient number, since it is larger than the sum of its proper divisors (35177010727).

1020133310213 is an equidigital number, since it uses as much as digits as its factorization.

1020133310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35177010726.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1020133310213 its reverse (3120133310201), we get a palindrome (4140266620414).

The spelling of 1020133310213 in words is "one trillion, twenty billion, one hundred thirty-three million, three hundred ten thousand, two hundred thirteen".