1010133203313 has 16 divisors (see below), whose sum is σ = 1460053298816. Its totient is φ = 617503737600.

The previous prime is 1010133203291. The next prime is 1010133203327. The reversal of 1010133203313 is 3133023310101.

1010133203313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010133203313 - 2¹⁰ = 1010133202289 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010133203313.

It is not an unprimeable number, because it can be changed into a prime (1010133203353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85758520 + ... + 85770297.

It is an arithmetic number, because the mean of its divisors is an integer number (91253331176).

Almost surely, 2^{1010133203313} is an apocalyptic number.

1010133203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010133203313 is a deficient number, since it is larger than the sum of its proper divisors (449920095503).

1010133203313 is a wasteful number, since it uses less digits than its factorization.

1010133203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171528984.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1010133203313 its reverse (3133023310101), we get a palindrome (4143156513414).

The spelling of 1010133203313 in words is "one trillion, ten billion, one hundred thirty-three million, two hundred three thousand, three hundred thirteen".