1030122131233 has 16 divisors (see below), whose sum is σ = 1133778270352. Its totient is φ = 930126240000.

The previous prime is 1030122131209. The next prime is 1030122131243. The reversal of 1030122131233 is 3321312210301.

It can be written as a sum of positive squares in 8 ways, for example, as 661730187024 + 368391944209 = 813468^2 + 606953^2 .

It is a cyclic number.

It is not a de Polignac number, because 1030122131233 - 2²⁹ = 1029585260321 is a prime.

It is a super-2 number, since 2×1030122131233² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030122131243) 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 15 ways as a sum of consecutive naturals, for example, 3444918 + ... + 3731983.

It is an arithmetic number, because the mean of its divisors is an integer number (70861141897).

Almost surely, 2^{1030122131233} is an apocalyptic number.

1030122131233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1030122131233 is a deficient number, since it is larger than the sum of its proper divisors (103656139119).

1030122131233 is a wasteful number, since it uses less digits than its factorization.

1030122131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177156.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1030122131233 its reverse (3321312210301), we get a palindrome (4351434341534).

The spelling of 1030122131233 in words is "one trillion, thirty billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirty-three".