333105133013 has 12 divisors (see below), whose sum is σ = 366053973540. Its totient is φ = 302699991552.

The previous prime is 333105133007. The next prime is 333105133019. The reversal of 333105133013 is 310331501333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (333105133007) and next prime (333105133019).

It can be written as a sum of positive squares in 6 ways, for example, as 335365969 + 332769767044 = 18313^2 + 576862^2 .

It is not a de Polignac number, because 333105133013 - 2¹⁸ = 333104870869 is a prime.

It is a super-2 number, since 2×333105133013² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333105133019) 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 11 ways as a sum of consecutive naturals, for example, 19864256 + ... + 19881017.

It is an arithmetic number, because the mean of its divisors is an integer number (30504497795).

Almost surely, 2^333105133013 is an apocalyptic number.

It is an amenable number.

333105133013 is a deficient number, since it is larger than the sum of its proper divisors (32948840527).

333105133013 is a wasteful number, since it uses less digits than its factorization.

333105133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39745336 (or 39745319 counting only the distinct ones).

The product of its (nonzero) digits is 3645, while the sum is 26.

Adding to 333105133013 its reverse (310331501333), we get a palindrome (643436634346).

The spelling of 333105133013 in words is "three hundred thirty-three billion, one hundred five million, one hundred thirty-three thousand, thirteen".