1030122120313 has 48 divisors (see below), whose sum is σ = 1243163004048. Its totient is φ = 847599667200.

The previous prime is 1030122120299. The next prime is 1030122120341. The reversal of 1030122120313 is 3130212210301.

It can be written as a sum of positive squares in 8 ways, for example, as 77530504249 + 952591616064 = 278443^2 + 976008^2 .

It is not a de Polignac number, because 1030122120313 - 2¹³ = 1030122112121 is a prime.

It is a super-2 number, since 2×1030122120313² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1030122120353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190161981 + ... + 190167397.

It is an arithmetic number, because the mean of its divisors is an integer number (25899229251).

Almost surely, 2^{1030122120313} is an apocalyptic number.

1030122120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030122120313 is a deficient number, since it is larger than the sum of its proper divisors (213040883735).

1030122120313 is a wasteful number, since it uses less digits than its factorization.

1030122120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7786 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1030122120313 its reverse (3130212210301), we get a palindrome (4160334330614).

The spelling of 1030122120313 in words is "one trillion, thirty billion, one hundred twenty-two million, one hundred twenty thousand, three hundred thirteen".