13036833 has 12 divisors (see below), whose sum is σ = 19438848. Its totient is φ = 8410680.

The previous prime is 13036823. The next prime is 13036843. The reversal of 13036833 is 33863031.

13036833 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13036823) and next prime (13036843).

It is not a de Polignac number, because 13036833 - 2⁵ = 13036801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13036797 and 13036806.

It is not an unprimeable number, because it can be changed into a prime (13036823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23085 + ... + 23642.

It is an arithmetic number, because the mean of its divisors is an integer number (1619904).

Almost surely, 2^13036833 is an apocalyptic number.

It is an amenable number.

13036833 is a deficient number, since it is larger than the sum of its proper divisors (6402015).

13036833 is a wasteful number, since it uses less digits than its factorization.

13036833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46764 (or 46761 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 13036833 is about 3610.6554806572. The cubic root of 13036833 is about 235.3553278607.

Adding to 13036833 its reverse (33863031), we get a palindrome (46899864).

It can be divided in two parts, 130 and 36833, that added together give a palindrome (36963).

The spelling of 13036833 in words is "thirteen million, thirty-six thousand, eight hundred thirty-three".