1013100313 has 2 divisors, whose sum is σ = 1013100314. Its totient is φ = 1013100312.

The previous prime is 1013100299. The next prime is 1013100317. The reversal of 1013100313 is 3130013101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 733976464 + 279123849 = 27092^2 + 16707^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013100313 - 2⁵ = 1013100281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013100293 and 1013100302.

It is not a weakly prime, because it can be changed into another prime (1013100317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506550156 + 506550157.

It is an arithmetic number, because the mean of its divisors is an integer number (506550157).

Almost surely, 2^1013100313 is an apocalyptic number.

It is an amenable number.

1013100313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013100313 is an equidigital number, since it uses as much as digits as its factorization.

1013100313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1013100313 is about 31829.2367643335. The cubic root of 1013100313 is about 1004.3478398915.

Adding to 1013100313 its reverse (3130013101), we get a palindrome (4143113414).

The spelling of 1013100313 in words is "one billion, thirteen million, one hundred thousand, three hundred thirteen".