1003123201311 has 36 divisors (see below), whose sum is σ = 1820175813456. Its totient is φ = 521102957760.

The previous prime is 1003123201309. The next prime is 1003123201319. The reversal of 1003123201311 is 1131023213001.

1003123201311 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 2 + 320 + 1 + 311 = 666.

It is not a de Polignac number, because 1003123201311 - 2¹ = 1003123201309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003123201319) 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 35 ways as a sum of consecutive naturals, for example, 65788206 + ... + 65803451.

Almost surely, 2^{1003123201311} is an apocalyptic number.

1003123201311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1003123201311 is a deficient number, since it is larger than the sum of its proper divisors (817052612145).

1003123201311 is a wasteful number, since it uses less digits than its factorization.

1003123201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131591692 (or 131591678 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1003123201311 its reverse (1131023213001), we get a palindrome (2134146414312).

The spelling of 1003123201311 in words is "one trillion, three billion, one hundred twenty-three million, two hundred one thousand, three hundred eleven".