2123333112961 has 2 divisors, whose sum is σ = 2123333112962. Its totient is φ = 2123333112960.

The previous prime is 2123333112907. The next prime is 2123333113073. The reversal of 2123333112961 is 1692113333212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1528091545600 + 595241567361 = 1236160^2 + 771519^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123333112961 - 2³¹ = 2121185629313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123333112961.

It is not a weakly prime, because it can be changed into another prime (2123333112661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061666556480 + 1061666556481.

It is an arithmetic number, because the mean of its divisors is an integer number (1061666556481).

Almost surely, 2^{2123333112961} is an apocalyptic number.

It is an amenable number.

2123333112961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123333112961 is an equidigital number, since it uses as much as digits as its factorization.

2123333112961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 37.

The spelling of 2123333112961 in words is "two trillion, one hundred twenty-three billion, three hundred thirty-three million, one hundred twelve thousand, nine hundred sixty-one".