1341353000 has 96 divisors (see below), whose sum is σ = 3399210360. Its totient is φ = 495206400.

The previous prime is 1341352997. The next prime is 1341353003. The reversal of 1341353000 is 3531431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341352997) and next prime (1341353003).

It can be written as a sum of positive squares in 12 ways, for example, as 85784644 + 1255568356 = 9262^2 + 35434^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1341353003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165032 + ... + 172968.

Almost surely, 2^1341353000 is an apocalyptic number.

1341353000 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 1341353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699605180).

1341353000 is an abundant number, since it is smaller than the sum of its proper divisors (2057857360).

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

1341353000 is a wasteful number, since it uses less digits than its factorization.

1341353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7957 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1341353000 is about 36624.4863445209. The cubic root of 1341353000 is about 1102.8447031052.

Adding to 1341353000 its reverse (3531431), we get a palindrome (1344884431).

The spelling of 1341353000 in words is "one billion, three hundred forty-one million, three hundred fifty-three thousand".