1013013121 has 4 divisors (see below), whose sum is σ = 1040391892. Its totient is φ = 985634352.

The previous prime is 1013013109. The next prime is 1013013179. The reversal of 1013013121 is 1213103101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1213103101 = 7 ⋅173300443.

It can be written as a sum of positive squares in 2 ways, for example, as 577873521 + 435139600 = 24039^2 + 20860^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013013121 - 2¹⁹ = 1012488833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013013721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13689330 + ... + 13689403.

It is an arithmetic number, because the mean of its divisors is an integer number (260097973).

Almost surely, 2^1013013121 is an apocalyptic number.

It is an amenable number.

1013013121 is a deficient number, since it is larger than the sum of its proper divisors (27378771).

1013013121 is an equidigital number, since it uses as much as digits as its factorization.

1013013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27378770.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1013013121 is about 31827.8670507466. The cubic root of 1013013121 is about 1004.3190261574.

Adding to 1013013121 its reverse (1213103101), we get a palindrome (2226116222).

The spelling of 1013013121 in words is "one billion, thirteen million, thirteen thousand, one hundred twenty-one".