13100033 has 6 divisors (see below), whose sum is σ = 13429062. Its totient is φ = 12778880.

The previous prime is 13100027. The next prime is 13100039. The reversal of 13100033 is 33000131.

It is an interprime number because it is at equal distance from previous prime (13100027) and next prime (13100039).

It can be written as a sum of positive squares in 3 ways, for example, as 262144 + 12837889 = 512^2 + 3583^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13100033 is a prime.

It is a super-2 number, since 2×13100033² = 343221729202178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13099987 and 13100023.

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 5 ways as a sum of consecutive naturals, for example, 2216 + ... + 5577.

It is an arithmetic number, because the mean of its divisors is an integer number (2238177).

Almost surely, 2^13100033 is an apocalyptic number.

It is an amenable number.

13100033 is a deficient number, since it is larger than the sum of its proper divisors (329029).

13100033 is an frugal number, since it uses more digits than its factorization.

13100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7875 (or 7834 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13100033 is about 3619.3967729444. The cubic root of 13100033 is about 235.7350337065.

Adding to 13100033 its reverse (33000131), we get a palindrome (46100164).

The spelling of 13100033 in words is "thirteen million, one hundred thousand, thirty-three".