123200437533361 has 2 divisors, whose sum is σ = 123200437533362. Its totient is φ = 123200437533360.

The previous prime is 123200437533359. The next prime is 123200437533373. The reversal of 123200437533361 is 163335734002321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123189021893025 + 11415640336 = 11099055^2 + 106844^2 .

It is a cyclic number.

It is not a de Polignac number, because 123200437533361 - 2¹ = 123200437533359 is a prime.

Together with 123200437533359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123200437533661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61600218766680 + 61600218766681.

It is an arithmetic number, because the mean of its divisors is an integer number (61600218766681).

Almost surely, 2^{123200437533361} is an apocalyptic number.

It is an amenable number.

123200437533361 is a deficient number, since it is larger than the sum of its proper divisors (1).

123200437533361 is an equidigital number, since it uses as much as digits as its factorization.

123200437533361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 43.

The spelling of 123200437533361 in words is "one hundred twenty-three trillion, two hundred billion, four hundred thirty-seven million, five hundred thirty-three thousand, three hundred sixty-one".