1331003040 has 48 divisors (see below), whose sum is σ = 4192661088. Its totient is φ = 354934016.

The previous prime is 1331003027. The next prime is 1331003041. The reversal of 1331003040 is 403001331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1331003041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1385982 + ... + 1386941.

It is an arithmetic number, because the mean of its divisors is an integer number (87347106).

Almost surely, 2^1331003040 is an apocalyptic number.

1331003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331003040 is an abundant number, since it is smaller than the sum of its proper divisors (2861658048).

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

1331003040 is a wasteful number, since it uses less digits than its factorization.

1331003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772941 (or 2772933 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1331003040 is about 36482.9143572714. The cubic root of 1331003040 is about 1100.0008374649. Note that the first 3 decimals are identical.

Adding to 1331003040 its reverse (403001331), we get a palindrome (1734004371).

The spelling of 1331003040 in words is "one billion, three hundred thirty-one million, three thousand, forty".