10001010100013 has 8 divisors (see below), whose sum is σ = 10027472241600. Its totient is φ = 9974555531200.

The previous prime is 10001010099943. The next prime is 10001010100033. The reversal of 10001010100013 is 31000101010001.

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 10001010100013 - 2²⁴ = 10000993322797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001010100033) 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, 756506 + ... + 4535892.

It is an arithmetic number, because the mean of its divisors is an integer number (1253434030200).

Almost surely, 2^{10001010100013} is an apocalyptic number.

It is an amenable number.

10001010100013 is a deficient number, since it is larger than the sum of its proper divisors (26462141587).

10001010100013 is an equidigital number, since it uses as much as digits as its factorization.

10001010100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786387.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001010100013 its reverse (31000101010001), we get a palindrome (41001111110014).

It can be divided in two parts, 1000101010001 and 3, that multiplied together give a palindrome (3000303030003).

The spelling of 10001010100013 in words is "ten trillion, one billion, ten million, one hundred thousand, thirteen".