1303413331 has 12 divisors (see below), whose sum is σ = 1446081336. Its totient is φ = 1173835520.

The previous prime is 1303413299. The next prime is 1303413359. The reversal of 1303413331 is 1333143031.

It is not a de Polignac number, because 1303413331 - 2⁵ = 1303413299 is a prime.

It is a super-2 number, since 2×1303413331² = 3397772622857031122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1303413731) 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 11 ways as a sum of consecutive naturals, for example, 37390 + ... + 63283.

It is an arithmetic number, because the mean of its divisors is an integer number (120506778).

Almost surely, 2^1303413331 is an apocalyptic number.

1303413331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1303413331 is a deficient number, since it is larger than the sum of its proper divisors (142668005).

1303413331 is a wasteful number, since it uses less digits than its factorization.

1303413331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100802 (or 100791 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 1303413331 is about 36102.8161089963. The cubic root of 1303413331 is about 1092.3472495971.

Adding to 1303413331 its reverse (1333143031), we get a palindrome (2636556362).

The spelling of 1303413331 in words is "one billion, three hundred three million, four hundred thirteen thousand, three hundred thirty-one".