332020130332133 has 2 divisors, whose sum is σ = 332020130332134. Its totient is φ = 332020130332132.

The previous prime is 332020130332109. The next prime is 332020130332157. The reversal of 332020130332133 is 331233031020233.

It is a balanced prime because it is at equal distance from previous prime (332020130332109) and next prime (332020130332157).

It can be written as a sum of positive squares in only one way, i.e., 205859565709249 + 126160564622884 = 14347807^2 + 11232122^2 .

It is a cyclic number.

It is not a de Polignac number, because 332020130332133 - 2¹⁸ = 332020130069989 is a prime.

It is a super-2 number, since 2×332020130332133² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332020130332096 and 332020130332105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332020130332183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166010065166066 + 166010065166067.

It is an arithmetic number, because the mean of its divisors is an integer number (166010065166067).

Almost surely, 2^{332020130332133} is an apocalyptic number.

It is an amenable number.

332020130332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

332020130332133 is an equidigital number, since it uses as much as digits as its factorization.

332020130332133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 332020130332133 its reverse (331233031020233), we get a palindrome (663253161352366).

The spelling of 332020130332133 in words is "three hundred thirty-two trillion, twenty billion, one hundred thirty million, three hundred thirty-two thousand, one hundred thirty-three".