13055031 has 24 divisors (see below), whose sum is σ = 21784464. Its totient is φ = 7445760.

The previous prime is 13054991. The next prime is 13055047.

It is a happy number.

13055031 is nontrivially palindromic in base 10 and base 13.

It is not a de Polignac number, because 13055031 - 2⁷ = 13054903 is a prime.

It is a super-2 number, since 2×13055031² = 340867668821922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13054995 and 13055013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2196 + ... + 5561.

It is an arithmetic number, because the mean of its divisors is an integer number (907686).

Almost surely, 2^13055031 is an apocalyptic number.

13055031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13055031 is a deficient number, since it is larger than the sum of its proper divisors (8729433).

13055031 is a wasteful number, since it uses less digits than its factorization.

13055031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 13055031 is about 3613.1746428868. The cubic root of 13055031 is about 235.4647870864.

It can be divided in two parts, 1305 and 5031, that added together give a palindrome (6336).

The spelling of 13055031 in words is "thirteen million, fifty-five thousand, thirty-one".