122053003313 has 2 divisors, whose sum is σ = 122053003314. Its totient is φ = 122053003312.

The previous prime is 122053003307. The next prime is 122053003351. The reversal of 122053003313 is 313300350221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107195343649 + 14857659664 = 327407^2 + 121892^2 .

It is a cyclic number.

It is not a de Polignac number, because 122053003313 - 2¹⁴ = 122052986929 is a prime.

It is not a weakly prime, because it can be changed into another prime (122053003393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61026501656 + 61026501657.

It is an arithmetic number, because the mean of its divisors is an integer number (61026501657).

Almost surely, 2^122053003313 is an apocalyptic number.

It is an amenable number.

122053003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

122053003313 is an equidigital number, since it uses as much as digits as its factorization.

122053003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 122053003313 its reverse (313300350221), we get a palindrome (435353353534).

The spelling of 122053003313 in words is "one hundred twenty-two billion, fifty-three million, three thousand, three hundred thirteen".