1300213000 has 64 divisors (see below), whose sum is σ = 3174837120. Its totient is φ = 497464000.

The previous prime is 1300212971. The next prime is 1300213003. The reversal of 1300213000 is 3120031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1300213003) 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 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 51265.

It is an arithmetic number, because the mean of its divisors is an integer number (49606830).

Almost surely, 2^1300213000 is an apocalyptic number.

1300213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300213000 is an abundant number, since it is smaller than the sum of its proper divisors (1874624120).

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

1300213000 is a wasteful number, since it uses less digits than its factorization.

1300213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56575 (or 56561 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1300213000 is about 36058.4664122034. The cubic root of 1300213000 is about 1091.4524866480.

Adding to 1300213000 its reverse (3120031), we get a palindrome (1303333031).

The spelling of 1300213000 in words is "one billion, three hundred million, two hundred thirteen thousand".