1304224131 has 48 divisors (see below), whose sum is σ = 2130796800. Its totient is φ = 706128192.

The previous prime is 1304224091. The next prime is 1304224147. The reversal of 1304224131 is 1314224031.

It is not a de Polignac number, because 1304224131 - 2¹¹ = 1304222083 is a prime.

It is a super-2 number, since 2×1304224131² = 3402001167765410322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1304224098 and 1304224107.

It is not an unprimeable number, because it can be changed into a prime (1304224931) 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, 366760 + ... + 370298.

It is an arithmetic number, because the mean of its divisors is an integer number (44391600).

Almost surely, 2^1304224131 is an apocalyptic number.

1304224131 is a deficient number, since it is larger than the sum of its proper divisors (826572669).

1304224131 is a wasteful number, since it uses less digits than its factorization.

1304224131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1304224131 is about 36114.0434041939. The cubic root of 1304224131 is about 1092.5737041287.

Adding to 1304224131 its reverse (1314224031), we get a palindrome (2618448162).

It can be divided in two parts, 13042 and 24131, that added together give a palindrome (37173).

The spelling of 1304224131 in words is "one billion, three hundred four million, two hundred twenty-four thousand, one hundred thirty-one".