1003133120331 has 16 divisors (see below), whose sum is σ = 1371012705920. Its totient is φ = 652058951040.

The previous prime is 1003133120329. The next prime is 1003133120359. The reversal of 1003133120331 is 1330213313001.

It is not a de Polignac number, because 1003133120331 - 2¹ = 1003133120329 is a prime.

It is a super-2 number, since 2×1003133120331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003133120298 and 1003133120307.

It is not an unprimeable number, because it can be changed into a prime (1003133122331) 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 15 ways as a sum of consecutive naturals, for example, 6735646 + ... + 6882963.

It is an arithmetic number, because the mean of its divisors is an integer number (85688294120).

Almost surely, 2^{1003133120331} is an apocalyptic number.

1003133120331 is a deficient number, since it is larger than the sum of its proper divisors (367879585589).

1003133120331 is a wasteful number, since it uses less digits than its factorization.

1003133120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13619226.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1003133120331 its reverse (1330213313001), we get a palindrome (2333346433332).

The spelling of 1003133120331 in words is "one trillion, three billion, one hundred thirty-three million, one hundred twenty thousand, three hundred thirty-one".