1013331011213 has 4 divisors (see below), whose sum is σ = 1014228559740. Its totient is φ = 1012433462688.

The previous prime is 1013331011177. The next prime is 1013331011221. The reversal of 1013331011213 is 3121101333101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 34820306404 + 978510704809 = 186602^2 + 989197^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013331011213 - 2¹⁰ = 1013331010189 is a prime.

It is a super-2 number, since 2×1013331011213² (a number of 25 digits) contains 22 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 (1013331013213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 448772570 + ... + 448774827.

It is an arithmetic number, because the mean of its divisors is an integer number (253557139935).

Almost surely, 2^{1013331011213} is an apocalyptic number.

It is an amenable number.

1013331011213 is a deficient number, since it is larger than the sum of its proper divisors (897548527).

1013331011213 is an equidigital number, since it uses as much as digits as its factorization.

1013331011213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897548526.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1013331011213 its reverse (3121101333101), we get a palindrome (4134432344314).

The spelling of 1013331011213 in words is "one trillion, thirteen billion, three hundred thirty-one million, eleven thousand, two hundred thirteen".