1001312013 has 8 divisors (see below), whose sum is σ = 1437781408. Its totient is φ = 616191984.

The previous prime is 1001312009. The next prime is 1001312023. The reversal of 1001312013 is 3102131001.

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

It is not a de Polignac number, because 1001312013 - 2² = 1001312009 is a prime.

It is a super-2 number, since 2×1001312013² = 2005251494756224338, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12837295 + ... + 12837372.

It is an arithmetic number, because the mean of its divisors is an integer number (179722676).

Almost surely, 2^1001312013 is an apocalyptic number.

1001312013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001312013 is a deficient number, since it is larger than the sum of its proper divisors (436469395).

1001312013 is a wasteful number, since it uses less digits than its factorization.

1001312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25674683.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001312013 is about 31643.5145487981. The cubic root of 1001312013 is about 1000.4371465417.

Adding to 1001312013 its reverse (3102131001), we get a palindrome (4103443014).

The spelling of 1001312013 in words is "one billion, one million, three hundred twelve thousand, thirteen".