1315331040 has 96 divisors (see below), whose sum is σ = 4195860480. Its totient is φ = 346305024.

The previous prime is 1315331027. The next prime is 1315331041. The reversal of 1315331040 is 401335131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1315330998 and 1315331016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315331041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20577 + ... + 55263.

It is an arithmetic number, because the mean of its divisors is an integer number (43706880).

Almost surely, 2^1315331040 is an apocalyptic number.

1315331040 is a gapful number since it is divisible by the number (10) 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 1315331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097930240).

1315331040 is an abundant number, since it is smaller than the sum of its proper divisors (2880529440).

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

1315331040 is a wasteful number, since it uses less digits than its factorization.

1315331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34784 (or 34776 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1315331040 is about 36267.4928827456. The cubic root of 1315331040 is about 1095.6664319570. Note that the first 3 decimals are identical.

Adding to 1315331040 its reverse (401335131), we get a palindrome (1716666171).

The spelling of 1315331040 in words is "one billion, three hundred fifteen million, three hundred thirty-one thousand, forty".