332112023132993 has 2 divisors, whose sum is σ = 332112023132994. Its totient is φ = 332112023132992.

The previous prime is 332112023132963. The next prime is 332112023133071. The reversal of 332112023132993 is 399231320211233.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226132060385344 + 105979962747649 = 15037688^2 + 10294657^2 .

It is a cyclic number.

It is not a de Polignac number, because 332112023132993 - 2²⁶ = 332111956024129 is a prime.

It is a super-2 number, since 2×332112023132993² (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (332112023132963) 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 as a sum of consecutive naturals, namely, 166056011566496 + 166056011566497.

It is an arithmetic number, because the mean of its divisors is an integer number (166056011566497).

Almost surely, 2^{332112023132993} is an apocalyptic number.

It is an amenable number.

332112023132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

332112023132993 is an equidigital number, since it uses as much as digits as its factorization.

332112023132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 44.

The spelling of 332112023132993 in words is "three hundred thirty-two trillion, one hundred twelve billion, twenty-three million, one hundred thirty-two thousand, nine hundred ninety-three".