100001013013 has 24 divisors (see below), whose sum is σ = 114927168384. Its totient is φ = 86783310240.

The previous prime is 100001012927. The next prime is 100001013023. The reversal of 100001013013 is 310310100001.

It is not a de Polignac number, because 100001013013 - 2²⁹ = 99464142101 is a prime.

It is a super-4 number, since 4×100001013013⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001013023) 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 23 ways as a sum of consecutive naturals, for example, 1364131 + ... + 1435567.

It is an arithmetic number, because the mean of its divisors is an integer number (4788632016).

Almost surely, 2^100001013013 is an apocalyptic number.

It is an amenable number.

100001013013 is a deficient number, since it is larger than the sum of its proper divisors (14926155371).

100001013013 is a wasteful number, since it uses less digits than its factorization.

100001013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71985 (or 71974 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100001013013 its reverse (310310100001), we get a palindrome (410311113014).

The spelling of 100001013013 in words is "one hundred billion, one million, thirteen thousand, thirteen".