1313100000 has 216 divisors, whose sum is σ = 4670560440. Its totient is φ = 349920000.

The previous prime is 1313099999. The next prime is 1313100007. The reversal of 1313100000 is 13131.

It is a super-2 number, since 2×1313100000² = 3448463220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899271 + ... + 900729.

It is an arithmetic number, because the mean of its divisors is an integer number (21622965).

Almost surely, 2^1313100000 is an apocalyptic number.

1313100000 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 1313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335280220).

1313100000 is an abundant number, since it is smaller than the sum of its proper divisors (3357460440).

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

1313100000 is an equidigital number, since it uses as much as digits as its factorization.

1313100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1313100000 is about 36236.7217060263. The cubic root of 1313100000 is about 1095.0465983797.

Adding to 1313100000 its reverse (13131), we get a palindrome (1313113131).

1313100000 divided by its reverse (13131) gives a 5-th power (100000 = 10⁵).

The spelling of 1313100000 in words is "one billion, three hundred thirteen million, one hundred thousand".