10133202313 has 12 divisors (see below), whose sum is σ = 10979989020. Its totient is φ = 9347460096.

The previous prime is 10133202311. The next prime is 10133202377. The reversal of 10133202313 is 31320233101.

It can be written as a sum of positive squares in 6 ways, for example, as 4536965449 + 5596236864 = 67357^2 + 74808^2 .

It is not a de Polignac number, because 10133202313 - 2¹ = 10133202311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10133202311) 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 11 ways as a sum of consecutive naturals, for example, 243153 + ... + 281761.

It is an arithmetic number, because the mean of its divisors is an integer number (914999085).

Almost surely, 2^10133202313 is an apocalyptic number.

10133202313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10133202313 is a deficient number, since it is larger than the sum of its proper divisors (846786707).

10133202313 is a wasteful number, since it uses less digits than its factorization.

10133202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40188 (or 40175 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10133202313 its reverse (31320233101), we get a palindrome (41453435414).

The spelling of 10133202313 in words is "ten billion, one hundred thirty-three million, two hundred two thousand, three hundred thirteen".