1000213030013 has 8 divisors (see below), whose sum is σ = 1059291348408. Its totient is φ = 941161629184.

The previous prime is 1000213029997. The next prime is 1000213030031. The reversal of 1000213030013 is 3100303120001.

It can be written as a sum of positive squares in 4 ways, for example, as 677819596804 + 322393433209 = 823298^2 + 567797^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000213030013 - 2⁴ = 1000213029997 is a prime.

It is a super-2 number, since 2×1000213030013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000213030013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000213030093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6652856 + ... + 6801537.

It is an arithmetic number, because the mean of its divisors is an integer number (132411418551).

Almost surely, 2^{1000213030013} is an apocalyptic number.

It is an amenable number.

1000213030013 is a deficient number, since it is larger than the sum of its proper divisors (59078318395).

1000213030013 is a wasteful number, since it uses less digits than its factorization.

1000213030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13458783.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 1000213030013 its reverse (3100303120001), we get a palindrome (4100516150014).

The spelling of 1000213030013 in words is "one trillion, two hundred thirteen million, thirty thousand, thirteen".