1310001300 has 108 divisors (see below), whose sum is σ = 4347713916. Its totient is φ = 328780800.

The previous prime is 1310001289. The next prime is 1310001347. The reversal of 1310001300 is 31000131.

It can be written as a sum of positive squares in 6 ways, for example, as 89756676 + 1220244624 = 9474^2 + 34932^2 .

It is a super-2 number, since 2×1310001300² = 3432206812003380000, 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 an unprimeable number.

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, 27511 + ... + 58110.

Almost surely, 2^1310001300 is an apocalyptic number.

1310001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310001300 is an abundant number, since it is smaller than the sum of its proper divisors (3037712616).

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

1310001300 is a wasteful number, since it uses less digits than its factorization.

1310001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85658 (or 85648 counting only the distinct ones).

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

The square root of 1310001300 is about 36193.9401005196. The cubic root of 1310001300 is about 1094.1845433073.

Adding to 1310001300 its reverse (31000131), we get a palindrome (1341001431).

The spelling of 1310001300 in words is "one billion, three hundred ten million, one thousand, three hundred".