1315104000 has 576 divisors, whose sum is σ = 5305896960. Its totient is φ = 282009600.

The previous prime is 1315103989. The next prime is 1315104001. The reversal of 1315104000 is 4015131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315104001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12767949 + ... + 12768051.

Almost surely, 2^1315104000 is an apocalyptic number.

1315104000 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 1315104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652948480).

1315104000 is an abundant number, since it is smaller than the sum of its proper divisors (3990792960).

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

1315104000 is a wasteful number, since it uses less digits than its factorization.

1315104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1315104000 is about 36264.3626719125. The cubic root of 1315104000 is about 1095.6033871383.

Adding to 1315104000 its reverse (4015131), we get a palindrome (1319119131).

The spelling of 1315104000 in words is "one billion, three hundred fifteen million, one hundred four thousand".