203413120 has 64 divisors (see below), whose sum is σ = 494618400. Its totient is φ = 79971328.

The previous prime is 203413117. The next prime is 203413123. The reversal of 203413120 is 21314302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (203413117) and next prime (203413123).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 203413094 and 203413103.

It is not an unprimeable number, because it can be changed into a prime (203413123) 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 7 ways as a sum of consecutive naturals, for example, 35067 + ... + 40453.

Almost surely, 2^203413120 is an apocalyptic number.

203413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247309200).

203413120 is an abundant number, since it is smaller than the sum of its proper divisors (291205280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203413120 is an equidigital number, since it uses as much as digits as its factorization.

203413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 203413120 is about 14262.2971501789. The cubic root of 203413120 is about 588.1114756175. Note that the first 3 decimals are identical.

Adding to 203413120 its reverse (21314302), we get a palindrome (224727422).

The spelling of 203413120 in words is "two hundred three million, four hundred thirteen thousand, one hundred twenty".