20331101122313 has 2 divisors, whose sum is σ = 20331101122314. Its totient is φ = 20331101122312.

The previous prime is 20331101122259. The next prime is 20331101122327. The reversal of 20331101122313 is 31322110113302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19063772299264 + 1267328823049 = 4366208^2 + 1125757^2 .

It is a cyclic number.

It is not a de Polignac number, because 20331101122313 - 2²⁶ = 20331034013449 is a prime.

It is not a weakly prime, because it can be changed into another prime (20331101127313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10165550561156 + 10165550561157.

It is an arithmetic number, because the mean of its divisors is an integer number (10165550561157).

Almost surely, 2^{20331101122313} is an apocalyptic number.

It is an amenable number.

20331101122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

20331101122313 is an equidigital number, since it uses as much as digits as its factorization.

20331101122313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 20331101122313 its reverse (31322110113302), we get a palindrome (51653211235615).

The spelling of 20331101122313 in words is "twenty trillion, three hundred thirty-one billion, one hundred one million, one hundred twenty-two thousand, three hundred thirteen".