1313512200 has 864 divisors, whose sum is σ = 6150231360. Its totient is φ = 251942400.

The previous prime is 1313512181. The next prime is 1313512219. The reversal of 1313512200 is 22153131.

1313512200 is a `hidden beast` number, since 131 + 3 + 512 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1313512181) and next prime (1313512219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 101039394 + ... + 101039406.

Almost surely, 2^1313512200 is an apocalyptic number.

1313512200 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 1313512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075115680).

1313512200 is an abundant number, since it is smaller than the sum of its proper divisors (4836719160).

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

1313512200 is a wasteful number, since it uses less digits than its factorization.

1313512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1313512200 is about 36242.4088603393. The cubic root of 1313512200 is about 1095.1611697464.

Adding to 1313512200 its reverse (22153131), we get a palindrome (1335665331).

The spelling of 1313512200 in words is "one billion, three hundred thirteen million, five hundred twelve thousand, two hundred".