1313400 has 96 divisors (see below), whose sum is σ = 4464000. Its totient is φ = 316800.

The previous prime is 1313383. The next prime is 1313423. The reversal of 1313400 is 43131.

1313400 = T₁ + T₂ + ... + T₁₉₈.

1313400 is a nontrivial binomial coefficient, being equal to C(200, 3).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is the 198-th tetrahedral number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6501 + ... + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

2^1313400 is an apocalyptic number.

1313400 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 1313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232000).

1313400 is an abundant number, since it is smaller than the sum of its proper divisors (3150600).

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

1313400 is a wasteful number, since it uses less digits than its factorization.

1313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1313400 is about 1146.0366486287. The cubic root of 1313400 is about 109.5129986028.

Adding to 1313400 its reverse (43131), we get a palindrome (1356531).

The spelling of 1313400 in words is "one million, three hundred thirteen thousand, four hundred".