120202113302113 has 2 divisors, whose sum is σ = 120202113302114. Its totient is φ = 120202113302112.

The previous prime is 120202113302059. The next prime is 120202113302149. The reversal of 120202113302113 is 311203311202021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103399754833489 + 16802358468624 = 10168567^2 + 4099068^2 .

It is a cyclic number.

It is not a de Polignac number, because 120202113302113 - 2²¹ = 120202111204961 is a prime.

It is a super-2 number, since 2×120202113302113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120202113372113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60101056651056 + 60101056651057.

It is an arithmetic number, because the mean of its divisors is an integer number (60101056651057).

Almost surely, 2^{120202113302113} is an apocalyptic number.

It is an amenable number.

120202113302113 is a deficient number, since it is larger than the sum of its proper divisors (1).

120202113302113 is an equidigital number, since it uses as much as digits as its factorization.

120202113302113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 120202113302113 its reverse (311203311202021), we get a palindrome (431405424504134).

The spelling of 120202113302113 in words is "one hundred twenty trillion, two hundred two billion, one hundred thirteen million, three hundred two thousand, one hundred thirteen".