1003111333131 has 16 divisors (see below), whose sum is σ = 1406675911680. Its totient is φ = 634957870560.

The previous prime is 1003111333127. The next prime is 1003111333183. The reversal of 1003111333131 is 1313331113001.

It is not a de Polignac number, because 1003111333131 - 2² = 1003111333127 is a prime.

It is a super-2 number, since 2×1003111333131² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003111333098 and 1003111333107.

It is not an unprimeable number, because it can be changed into a prime (1003111353131) 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, 101751141 + ... + 101760998.

It is an arithmetic number, because the mean of its divisors is an integer number (87917244480).

Almost surely, 2^{1003111333131} is an apocalyptic number.

1003111333131 is a deficient number, since it is larger than the sum of its proper divisors (403564578549).

1003111333131 is a wasteful number, since it uses less digits than its factorization.

1003111333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203512226.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1003111333131 its reverse (1313331113001), we get a palindrome (2316442446132).

The spelling of 1003111333131 in words is "one trillion, three billion, one hundred eleven million, three hundred thirty-three thousand, one hundred thirty-one".