1013102313 has 8 divisors (see below), whose sum is σ = 1352140608. Its totient is φ = 674732784.

The previous prime is 1013102297. The next prime is 1013102341. The reversal of 1013102313 is 3132013101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1013102313 - 2⁴ = 1013102297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013102292 and 1013102301.

It is not an unprimeable number, because it can be changed into a prime (1013100313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163645 + ... + 169722.

It is an arithmetic number, because the mean of its divisors is an integer number (169017576).

Almost surely, 2^1013102313 is an apocalyptic number.

It is an amenable number.

1013102313 is a deficient number, since it is larger than the sum of its proper divisors (339038295).

1013102313 is a wasteful number, since it uses less digits than its factorization.

1013102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334383.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1013102313 is about 31829.2681819736. The cubic root of 1013102313 is about 1004.3485007982.

Adding to 1013102313 its reverse (3132013101), we get a palindrome (4145115414).

The spelling of 1013102313 in words is "one billion, thirteen million, one hundred two thousand, three hundred thirteen".