13030003031 has 16 divisors (see below), whose sum is σ = 13479177600. Its totient is φ = 12590292000.

The previous prime is 13030003009. The next prime is 13030003043.

13030003031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13030003031 - 2⁶ = 13030002967 is a prime.

It is a super-2 number, since 2×13030003031² (a number of 21 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 = 13030002997 and 13030003015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030005031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820436 + ... + 836166.

It is an arithmetic number, because the mean of its divisors is an integer number (842448600).

Almost surely, 2^13030003031 is an apocalyptic number.

13030003031 is a deficient number, since it is larger than the sum of its proper divisors (449174569).

13030003031 is a wasteful number, since it uses less digits than its factorization.

13030003031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16030.

The product of its (nonzero) digits is 81, while the sum is 14.

It can be divided in two parts, 1303000 and 3031, that added together give a palindrome (1306031).

The spelling of 13030003031 in words is "thirteen billion, thirty million, three thousand, thirty-one".