1013003131003 has 4 divisors (see below), whose sum is σ = 1015066274328. Its totient is φ = 1010939987680.

The previous prime is 1013003131001. The next prime is 1013003131121. The reversal of 1013003131003 is 3001313003101.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1013003131003 - 2¹ = 1013003131001 is a prime.

It is a super-3 number, since 3×1013003131003³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013003131001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1031570926 + ... + 1031571907.

It is an arithmetic number, because the mean of its divisors is an integer number (253766568582).

Almost surely, 2^{1013003131003} is an apocalyptic number.

1013003131003 is a deficient number, since it is larger than the sum of its proper divisors (2063143325).

1013003131003 is an equidigital number, since it uses as much as digits as its factorization.

1013003131003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063143324.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1013003131003 its reverse (3001313003101), we get a palindrome (4014316134104).

The spelling of 1013003131003 in words is "one trillion, thirteen billion, three million, one hundred thirty-one thousand, three".