1313100 has 54 divisors (see below), whose sum is σ = 4118660. Its totient is φ = 349920.

The previous prime is 1313087. The next prime is 1313141. The reversal of 1313100 is 13131.

It is a super-2 number, since 2×1313100² = 3448463220000, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 171 + ... + 1629.

2^1313100 is an apocalyptic number.

1313100 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 1313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059330).

1313100 is an abundant number, since it is smaller than the sum of its proper divisors (2805560).

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

1313100 is a wasteful number, since it uses less digits than its factorization.

1313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1469 counting only the distinct ones).

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

The square root of 1313100 is about 1145.9057552871. The cubic root of 1313100 is about 109.5046598380.

Adding to 1313100 its reverse (13131), we get a palindrome (1326231).

Multiplying 1313100 by its reverse (13131), we get a square (17242316100 = 131310²).

1313100 divided by its reverse (13131) gives a square (100 = 10²).

The spelling of 1313100 in words is "one million, three hundred thirteen thousand, one hundred".