1010001013 has 4 divisors (see below), whose sum is σ = 1154286880. Its totient is φ = 865715148.

The previous prime is 1010000983. The next prime is 1010001023. The reversal of 1010001013 is 3101000101.

It is a happy number.

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 a de Polignac number, because none of the positive numbers 2^k-1010001013 is a prime.

It is a super-2 number, since 2×1010001013² = 2040204092522052338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 144285859 = 1010001013 / (1 + 0 + 1 + 0 + 0 + 0 + 1 + 0 + 1 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010000987 and 1010001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72142923 + ... + 72142936.

It is an arithmetic number, because the mean of its divisors is an integer number (288571720).

Almost surely, 2^1010001013 is an apocalyptic number.

It is an amenable number.

1010001013 is a deficient number, since it is larger than the sum of its proper divisors (144285867).

1010001013 is an equidigital number, since it uses as much as digits as its factorization.

1010001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144285866.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 1010001013 is about 31780.5131015848. The cubic root of 1010001013 is about 1003.3226189761.

Adding to 1010001013 its reverse (3101000101), we get a palindrome (4111001114).

It can be divided in two parts, 101000101 and 3, that multiplied together give a palindrome (303000303).

The spelling of 1010001013 in words is "one billion, ten million, one thousand, thirteen".