1003002133131 has 16 divisors (see below), whose sum is σ = 1550534699520. Its totient is φ = 639595562760.

The previous prime is 1003002133103. The next prime is 1003002133153. The reversal of 1003002133131 is 1313312003001.

It is a happy number.

1003002133131 is a `hidden beast` number, since 1 + 0 + 0 + 300 + 2 + 1 + 331 + 31 = 666.

It is not a de Polignac number, because 1003002133131 - 2⁹ = 1003002132619 is a prime.

It is a super-2 number, since 2×1003002133131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003002132131) 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, 807569535 + ... + 807570776.

It is an arithmetic number, because the mean of its divisors is an integer number (96908418720).

Almost surely, 2^{1003002133131} is an apocalyptic number.

1003002133131 is a deficient number, since it is larger than the sum of its proper divisors (547532566389).

1003002133131 is a wasteful number, since it uses less digits than its factorization.

1003002133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615140343 (or 1615140337 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1003002133131 its reverse (1313312003001), we get a palindrome (2316314136132).

The spelling of 1003002133131 in words is "one trillion, three billion, two million, one hundred thirty-three thousand, one hundred thirty-one".