1003122120231 has 192 divisors, whose sum is σ = 1990959160320. Its totient is φ = 470606008320.

The previous prime is 1003122120223. The next prime is 1003122120323. The reversal of 1003122120231 is 1320212213001.

1003122120231 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 2 + 120 + 231 = 666.

It is not a de Polignac number, because 1003122120231 - 2³ = 1003122120223 is a prime.

It is a super-2 number, since 2×1003122120231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003122120631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55679781 + ... + 55697793.

It is an arithmetic number, because the mean of its divisors is an integer number (10369578960).

Almost surely, 2^{1003122120231} is an apocalyptic number.

1003122120231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003122120231 is a deficient number, since it is larger than the sum of its proper divisors (987837040089).

1003122120231 is a wasteful number, since it uses less digits than its factorization.

1003122120231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1003122120231 its reverse (1320212213001), we get a palindrome (2323334333232).

The spelling of 1003122120231 in words is "one trillion, three billion, one hundred twenty-two million, one hundred twenty thousand, two hundred thirty-one".