13100031 has 24 divisors (see below), whose sum is σ = 21733920. Its totient is φ = 7448256.

The previous prime is 13100027. The next prime is 13100039. The reversal of 13100031 is 13000131.

It is not a de Polignac number, because 13100031 - 2² = 13100027 is a prime.

It is a super-2 number, since 2×13100031² = 343221624401922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13099986 and 13100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16561 + ... + 17333.

It is an arithmetic number, because the mean of its divisors is an integer number (905580).

Almost surely, 2^13100031 is an apocalyptic number.

13100031 is a deficient number, since it is larger than the sum of its proper divisors (8633889).

13100031 is a wasteful number, since it uses less digits than its factorization.

13100031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1052 counting only the distinct ones).

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

The square root of 13100031 is about 3619.3964966552. The cubic root of 13100031 is about 235.7350217098.

Adding to 13100031 its reverse (13000131), we get a palindrome (26100162).

The spelling of 13100031 in words is "thirteen million, one hundred thousand, thirty-one".