1331063041 has 48 divisors (see below), whose sum is σ = 1723680000. Its totient is φ = 1005713280.

The previous prime is 1331063009. The next prime is 1331063081. The reversal of 1331063041 is 1403601331.

It is a happy number.

It is not a de Polignac number, because 1331063041 - 2⁵ = 1331063009 is a prime.

It is a super-3 number, since 3×1331063041³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331063081) 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, 6688660 + ... + 6688858.

It is an arithmetic number, because the mean of its divisors is an integer number (35910000).

Almost surely, 2^1331063041 is an apocalyptic number.

1331063041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331063041 is a deficient number, since it is larger than the sum of its proper divisors (392616959).

1331063041 is a wasteful number, since it uses less digits than its factorization.

1331063041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1331063041 is about 36483.7366644372. The cubic root of 1331063041 is about 1100.0173663925.

Adding to 1331063041 its reverse (1403601331), we get a palindrome (2734664372).

The spelling of 1331063041 in words is "one billion, three hundred thirty-one million, sixty-three thousand, forty-one".