1331000 has 64 divisors (see below), whose sum is σ = 3425760. Its totient is φ = 484000.

The previous prime is 1330997. The next prime is 1331023. The reversal of 1331000 is 1331.

1331000 = T₂₄ + T₂₅ + ... + T₁₉₉.

The cubic root of 1331000 is 110.

It is a perfect power (a cube), and thus also a powerful number.

It is a super-2 number, since 2×1331000² = 3543122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120995 + ... + 121005.

2^1331000 is an apocalyptic number.

1331000 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 1331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712880).

1331000 is an abundant number, since it is smaller than the sum of its proper divisors (2094760).

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

1331000 is an equidigital number, since it uses as much as digits as its factorization.

1331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 1331000 is about 1153.6897329872.

Adding to 1331000 its reverse (1331), we get a palindrome (1332331).

Multiplying 1331000 by its reverse (1331), we get a cube (1771561000 = 1210³).

1331000 divided by its reverse (1331) gives a cube (1000 = 10³).

It can be divided in two parts, 13 and 31000, that added together give a palindrome (31013).

The spelling of 1331000 in words is "one million, three hundred thirty-one thousand".