1001302013113 has 8 divisors (see below), whose sum is σ = 1012578877800. Its totient is φ = 990025732608.

The previous prime is 1001302013087. The next prime is 1001302013149. The reversal of 1001302013113 is 3113102031001.

It can be written as a sum of positive squares in 4 ways, for example, as 197128896064 + 804173117049 = 443992^2 + 896757^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1001302013113 - 2¹³ = 1001302004921 is a prime.

It is a super-3 number, since 3×1001302013113³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001302014113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3941733 + ... + 4188061.

It is an arithmetic number, because the mean of its divisors is an integer number (126572359725).

Almost surely, 2^{1001302013113} is an apocalyptic number.

It is an amenable number.

1001302013113 is a deficient number, since it is larger than the sum of its proper divisors (11276864687).

1001302013113 is an equidigital number, since it uses as much as digits as its factorization.

1001302013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292091.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001302013113 its reverse (3113102031001), we get a palindrome (4114404044114).

The spelling of 1001302013113 in words is "one trillion, one billion, three hundred two million, thirteen thousand, one hundred thirteen".