100011101013 has 12 divisors (see below), whose sum is σ = 146908962720. Its totient is φ = 65543998056.

The previous prime is 100011100979. The next prime is 100011101039. The reversal of 100011101013 is 310101110001.

It is not a de Polignac number, because 100011101013 - 2⁶ = 100011100949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011100986 and 100011101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011101413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94171881 + ... + 94172942.

It is an arithmetic number, because the mean of its divisors is an integer number (12242413560).

Almost surely, 2^100011101013 is an apocalyptic number.

It is an amenable number.

100011101013 is a deficient number, since it is larger than the sum of its proper divisors (46897861707).

100011101013 is a wasteful number, since it uses less digits than its factorization.

100011101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188344888 (or 188344885 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100011101013 its reverse (310101110001), we get a palindrome (410112211014).

The spelling of 100011101013 in words is "one hundred billion, eleven million, one hundred one thousand, thirteen".