3131133000003 has 20 divisors (see below), whose sum is σ = 4686670528848. Its totient is φ = 2083272028560.

The previous prime is 3131132999987. The next prime is 3131133000097. The reversal of 3131133000003 is 3000003311313.

It is not a de Polignac number, because 3131133000003 - 2⁴ = 3131132999987 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3131133000003.

It is not an unprimeable number, because it can be changed into a prime (3131133200003) 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 19 ways as a sum of consecutive naturals, for example, 38384668 + ... + 38466153.

Almost surely, 2^{3131133000003} is an apocalyptic number.

3131133000003 is a deficient number, since it is larger than the sum of its proper divisors (1555537528845).

3131133000003 is an equidigital number, since it uses as much as digits as its factorization.

3131133000003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76851336 (or 76851327 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 3131133000003 its reverse (3000003311313), we get a palindrome (6131136311316).

The spelling of 3131133000003 in words is "three trillion, one hundred thirty-one billion, one hundred thirty-three million, three", and thus it is an aban number.