1313000100 has 108 divisors (see below), whose sum is σ = 4357666404. Its totient is φ = 329533440.

The previous prime is 1313000077. The next prime is 1313000123. The reversal of 1313000100 is 10003131.

It is an interprime number because it is at equal distance from previous prime (1313000077) and next prime (1313000123).

It can be written as a sum of positive squares in 6 ways, for example, as 97344 + 1312902756 = 312^2 + 36234^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 27609 + ... + 58208.

It is an arithmetic number, because the mean of its divisors is an integer number (40348763).

Almost surely, 2^1313000100 is an apocalyptic number.

1313000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313000100 is an abundant number, since it is smaller than the sum of its proper divisors (3044666304).

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

1313000100 is a wasteful number, since it uses less digits than its factorization.

1313000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85854 (or 85844 counting only the distinct ones).

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

The square root of 1313000100 is about 36235.3432438552. The cubic root of 1313000100 is about 1095.0188274739.

Adding to 1313000100 its reverse (10003131), we get a palindrome (1323003231).

The spelling of 1313000100 in words is "one billion, three hundred thirteen million, one hundred", and thus it is an aban number.