1013311313 has 4 divisors (see below), whose sum is σ = 1158070080. Its totient is φ = 868552548.

The previous prime is 1013311309. The next prime is 1013311319. The reversal of 1013311313 is 3131133101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1013311313 - 2² = 1013311309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013311291 and 1013311300.

It is not an unprimeable number, because it can be changed into a prime (1013311319) 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 3 ways as a sum of consecutive naturals, for example, 72379373 + ... + 72379386.

It is an arithmetic number, because the mean of its divisors is an integer number (289517520).

Almost surely, 2^1013311313 is an apocalyptic number.

It is an amenable number.

1013311313 is a deficient number, since it is larger than the sum of its proper divisors (144758767).

1013311313 is an equidigital number, since it uses as much as digits as its factorization.

1013311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144758766.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1013311313 is about 31832.5511544394. The cubic root of 1013311313 is about 1004.4175607543.

Adding to 1013311313 its reverse (3131133101), we get a palindrome (4144444414).

The spelling of 1013311313 in words is "one billion, thirteen million, three hundred eleven thousand, three hundred thirteen".