1010121313 has 2 divisors, whose sum is σ = 1010121314. Its totient is φ = 1010121312.

The previous prime is 1010121289. The next prime is 1010121319. The reversal of 1010121313 is 3131210101.

1010121313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 903783969 + 106337344 = 30063^2 + 10312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010121313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010121293 and 1010121302.

It is not a weakly prime, because it can be changed into another prime (1010121319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505060656 + 505060657.

It is an arithmetic number, because the mean of its divisors is an integer number (505060657).

Almost surely, 2^1010121313 is an apocalyptic number.

It is an amenable number.

1010121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010121313 is an equidigital number, since it uses as much as digits as its factorization.

1010121313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1010121313 is about 31782.4057144830. The cubic root of 1010121313 is about 1003.3624522429.

Adding to 1010121313 its reverse (3131210101), we get a palindrome (4141331414).

The spelling of 1010121313 in words is "one billion, ten million, one hundred twenty-one thousand, three hundred thirteen".