1003131320031 has 8 divisors (see below), whose sum is σ = 1486120474160. Its totient is φ = 668754213336.

The previous prime is 1003131319999. The next prime is 1003131320033. The reversal of 1003131320031 is 1300231313001.

It is a happy number.

1003131320031 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 1 + 320 + 0 + 31 = 666.

It is not a de Polignac number, because 1003131320031 - 2⁵ = 1003131319999 is a prime.

It is a super-2 number, since 2×1003131320031² (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 = 1003131319986 and 1003131320013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003131320033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18576505900 + ... + 18576505953.

It is an arithmetic number, because the mean of its divisors is an integer number (185765059270).

Almost surely, 2^{1003131320031} is an apocalyptic number.

1003131320031 is a deficient number, since it is larger than the sum of its proper divisors (482989154129).

1003131320031 is an equidigital number, since it uses as much as digits as its factorization.

1003131320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37153011862 (or 37153011856 counting only the distinct ones).

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

Adding to 1003131320031 its reverse (1300231313001), we get a palindrome (2303362633032).

The spelling of 1003131320031 in words is "one trillion, three billion, one hundred thirty-one million, three hundred twenty thousand, thirty-one".