1311900 has 36 divisors (see below), whose sum is σ = 3796632. Its totient is φ = 349760.

The previous prime is 1311899. The next prime is 1311901. The reversal of 1311900 is 91131.

It is an interprime number because it is at equal distance from previous prime (1311899) and next prime (1311901).

It is a super-2 number, since 2×1311900² = 3442163220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1311900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1887 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (105462).

2^1311900 is an apocalyptic number.

1311900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311900 is an abundant number, since it is smaller than the sum of its proper divisors (2484732).

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

1311900 is a wasteful number, since it uses less digits than its factorization.

1311900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 1311900 is about 1145.3820323368. The cubic root of 1311900 is about 109.4712920718.

It can be divided in two parts, 1311 and 900, that added together give a triangular number (2211 = T₆₆).

The spelling of 1311900 in words is "one million, three hundred eleven thousand, nine hundred".