113313213 has 48 divisors (see below), whose sum is σ = 182966784. Its totient is φ = 67132800.

The previous prime is 113313209. The next prime is 113313223. The reversal of 113313213 is 312313311.

It is a happy number.

113313213 is a `hidden beast` number, since 11 + 331 + 321 + 3 = 666.

It is not a de Polignac number, because 113313213 - 2² = 113313209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113313223) 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 47 ways as a sum of consecutive naturals, for example, 508020 + ... + 508242.

It is an arithmetic number, because the mean of its divisors is an integer number (3811808).

Almost surely, 2^113313213 is an apocalyptic number.

113313213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113313213 is a deficient number, since it is larger than the sum of its proper divisors (69653571).

113313213 is a wasteful number, since it uses less digits than its factorization.

113313213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 113313213 is about 10644.8679183915. The cubic root of 113313213 is about 483.9050837825.

Adding to 113313213 its reverse (312313311), we get a palindrome (425626524).

It can be divided in two parts, 113313 and 213, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 113313213 in words is "one hundred thirteen million, three hundred thirteen thousand, two hundred thirteen".