103313133 has 48 divisors (see below), whose sum is σ = 190434816. Its totient is φ = 52405920.

The previous prime is 103313123. The next prime is 103313137. The reversal of 103313133 is 331313301.

It is not a de Polignac number, because 103313133 - 2⁴ = 103313117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28066 + ... + 31532.

It is an arithmetic number, because the mean of its divisors is an integer number (3967392).

Almost surely, 2^103313133 is an apocalyptic number.

It is an amenable number.

103313133 is a deficient number, since it is larger than the sum of its proper divisors (87121683).

103313133 is a wasteful number, since it uses less digits than its factorization.

103313133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 103313133 is about 10164.3068135510. The cubic root of 103313133 is about 469.2293587985.

Adding to 103313133 its reverse (331313301), we get a palindrome (434626434).

It can be divided in two parts, 103 and 313133, that added together give a triangular number (313236 = T₇₉₁).

The spelling of 103313133 in words is "one hundred three million, three hundred thirteen thousand, one hundred thirty-three".