332010133010033 has 16 divisors (see below), whose sum is σ = 346807802661840. Its totient is φ = 317560972962816.

The previous prime is 332010133009991. The next prime is 332010133010041. The reversal of 332010133010033 is 330010331010233.

It can be written as a sum of positive squares in 8 ways, for example, as 72560123077729 + 259450009932304 = 8518223^2 + 16107452^2 .

It is a cyclic number.

It is not a de Polignac number, because 332010133010033 - 2⁶ = 332010133009969 is a prime.

It is a super-3 number, since 3×332010133010033³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332010133009990 and 332010133010008.

It is not an unprimeable number, because it can be changed into a prime (332010133010063) 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 15 ways as a sum of consecutive naturals, for example, 290826260 + ... + 291965637.

It is an arithmetic number, because the mean of its divisors is an integer number (21675487666365).

Almost surely, 2^{332010133010033} is an apocalyptic number.

It is an amenable number.

332010133010033 is a deficient number, since it is larger than the sum of its proper divisors (14797669651807).

332010133010033 is a wasteful number, since it uses less digits than its factorization.

332010133010033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582792196.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 332010133010033 its reverse (330010331010233), we get a palindrome (662020464020266).

The spelling of 332010133010033 in words is "three hundred thirty-two trillion, ten billion, one hundred thirty-three million, ten thousand, thirty-three".