100511013 has 16 divisors (see below), whose sum is σ = 139144320. Its totient is φ = 64459584.

The previous prime is 100511003. The next prime is 100511017. The reversal of 100511013 is 310115001.

It is not a de Polignac number, because 100511013 - 2⁴ = 100510997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100511013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100511017) 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 15 ways as a sum of consecutive naturals, for example, 23520 + ... + 27462.

It is an arithmetic number, because the mean of its divisors is an integer number (8696520).

Almost surely, 2^100511013 is an apocalyptic number.

It is an amenable number.

100511013 is a deficient number, since it is larger than the sum of its proper divisors (38633307).

100511013 is a wasteful number, since it uses less digits than its factorization.

100511013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 100511013 is about 10025.5180913507. The cubic root of 100511013 is about 464.9481778299.

Adding to 100511013 its reverse (310115001), we get a palindrome (410626014).

The spelling of 100511013 in words is "one hundred million, five hundred eleven thousand, thirteen".