332013300021 has 48 divisors (see below), whose sum is σ = 530655246576. Its totient is φ = 198707033088.

The previous prime is 332013299951. The next prime is 332013300029. The reversal of 332013300021 is 120003310233.

332013300021 is a `hidden beast` number, since 332 + 0 + 1 + 330 + 0 + 0 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14722182225 + 317291117796 = 121335^2 + 563286^2 .

It is not a de Polignac number, because 332013300021 - 2¹⁹ = 332012775733 is a prime.

It is a super-2 number, since 2×332013300021² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332013299967 and 332013300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013300029) 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 47 ways as a sum of consecutive naturals, for example, 10690111 + ... + 10721123.

It is an arithmetic number, because the mean of its divisors is an integer number (11055317637).

Almost surely, 2^332013300021 is an apocalyptic number.

It is an amenable number.

332013300021 is a deficient number, since it is larger than the sum of its proper divisors (198641946555).

332013300021 is a wasteful number, since it uses less digits than its factorization.

332013300021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33542 (or 33539 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 332013300021 its reverse (120003310233), we get a palindrome (452016610254).

The spelling of 332013300021 in words is "three hundred thirty-two billion, thirteen million, three hundred thousand, twenty-one".