1013121113 has 2 divisors, whose sum is σ = 1013121114. Its totient is φ = 1013121112.

The previous prime is 1013121107. The next prime is 1013121163. The reversal of 1013121113 is 3111213101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 821796889 + 191324224 = 28667^2 + 13832^2 .

It is an emirp because it is prime and its reverse (3111213101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1013121113 - 2¹⁶ = 1013055577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013121163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506560556 + 506560557.

It is an arithmetic number, because the mean of its divisors is an integer number (506560557).

Almost surely, 2^1013121113 is an apocalyptic number.

It is an amenable number.

1013121113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013121113 is an equidigital number, since it uses as much as digits as its factorization.

1013121113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 1013121113 is about 31829.5635062751. The cubic root of 1013121113 is about 1004.3547132787.

Adding to 1013121113 its reverse (3111213101), we get a palindrome (4124334214).

The spelling of 1013121113 in words is "one billion, thirteen million, one hundred twenty-one thousand, one hundred thirteen".