13031001 has 6 divisors (see below), whose sum is σ = 18822570. Its totient is φ = 8687328.

The previous prime is 13030999. The next prime is 13031009. The reversal of 13031001 is 10013031.

It can be written as a sum of positive squares in only one way, i.e., 12595401 + 435600 = 3549^2 + 660^2 .

It is not a de Polignac number, because 13031001 - 2¹ = 13030999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1447889 = 13031001 / (1 + 3 + 0 + 3 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (13031009) 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 5 ways as a sum of consecutive naturals, for example, 723936 + ... + 723953.

It is an arithmetic number, because the mean of its divisors is an integer number (3137095).

Almost surely, 2^13031001 is an apocalyptic number.

It is an amenable number.

13031001 is a deficient number, since it is larger than the sum of its proper divisors (5791569).

13031001 is a wasteful number, since it uses less digits than its factorization.

13031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447895 (or 1447892 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 13031001 is about 3609.8477807243. The cubic root of 13031001 is about 235.3202273881.

Adding to 13031001 its reverse (10013031), we get a palindrome (23044032).

It can be divided in two parts, 1303 and 1001, that added together give a square (2304 = 48²).

The spelling of 13031001 in words is "thirteen million, thirty-one thousand, one".