1313880300 has 216 divisors, whose sum is σ = 4265352000. Its totient is φ = 338088960.

The previous prime is 1313880299. The next prime is 1313880307. The reversal of 1313880300 is 30883131.

It is not an unprimeable number, because it can be changed into a prime (1313880307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3764526 + ... + 3764874.

It is an arithmetic number, because the mean of its divisors is an integer number (19747000).

Almost surely, 2^1313880300 is an apocalyptic number.

1313880300 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 1313880300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

1313880300 is an abundant number, since it is smaller than the sum of its proper divisors (2951471700).

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

1313880300 is a wasteful number, since it uses less digits than its factorization.

1313880300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1313880300 is about 36247.4868094327. The cubic root of 1313880300 is about 1095.2634632195.

The spelling of 1313880300 in words is "one billion, three hundred thirteen million, eight hundred eighty thousand, three hundred".