1313538048 has 204 divisors, whose sum is σ = 4048521048. Its totient is φ = 408944640.

The previous prime is 1313538011. The next prime is 1313538097. The reversal of 1313538048 is 8408353131.

It is a tau number, because it is divible by the number of its divisors (204).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10026943 + ... + 10027073.

Almost surely, 2^1313538048 is an apocalyptic number.

1313538048 is a gapful number since it is divisible by the number (18) 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 1313538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024260524).

1313538048 is an abundant number, since it is smaller than the sum of its proper divisors (2734983000).

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

1313538048 is an equidigital number, since it uses as much as digits as its factorization.

1313538048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1313538048 is about 36242.7654573985. The cubic root of 1313538048 is about 1095.1683534230.

The spelling of 1313538048 in words is "one billion, three hundred thirteen million, five hundred thirty-eight thousand, forty-eight".