1000213021300 has 36 divisors (see below), whose sum is σ = 2176041935340. Its totient is φ = 399056696320.

The previous prime is 1000213021277. The next prime is 1000213021303. The reversal of 1000213021300 is 31203120001.

It can be written as a sum of positive squares in 6 ways, for example, as 50278195984 + 949934825316 = 224228^2 + 974646^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000213021303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12817309 + ... + 12895108.

It is an arithmetic number, because the mean of its divisors is an integer number (60445609315).

Almost surely, 2^{1000213021300} is an apocalyptic number.

1000213021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000213021300 is an abundant number, since it is smaller than the sum of its proper divisors (1175828914040).

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

1000213021300 is a wasteful number, since it uses less digits than its factorization.

1000213021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25712820 (or 25712813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1000213021300 its reverse (31203120001), we get a palindrome (1031416141301).

The spelling of 1000213021300 in words is "one trillion, two hundred thirteen million, twenty-one thousand, three hundred".