1013301203213 has 16 divisors (see below), whose sum is σ = 1118295874416. Its totient is φ = 912188252160.

The previous prime is 1013301203179. The next prime is 1013301203303. The reversal of 1013301203213 is 3123021033101.

It can be written as a sum of positive squares in 8 ways, for example, as 3272183209 + 1010029020004 = 57203^2 + 1005002^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013301203213 - 2¹⁰ = 1013301202189 is a prime.

It is a super-4 number, since 4×1013301203213⁴ (a number of 49 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013301203813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1015481 + ... + 1748657.

It is an arithmetic number, because the mean of its divisors is an integer number (69893492151).

Almost surely, 2^{1013301203213} is an apocalyptic number.

1013301203213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013301203213 is a deficient number, since it is larger than the sum of its proper divisors (104994671203).

1013301203213 is a wasteful number, since it uses less digits than its factorization.

1013301203213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735824.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1013301203213 its reverse (3123021033101), we get a palindrome (4136322236314).

The spelling of 1013301203213 in words is "one trillion, thirteen billion, three hundred one million, two hundred three thousand, two hundred thirteen".