100010011311 has 64 divisors (see below), whose sum is σ = 173097600000. Its totient is φ = 57045135168.

The previous prime is 100010011279. The next prime is 100010011327. The reversal of 100010011311 is 113110010001.

It is not a de Polignac number, because 100010011311 - 2⁵ = 100010011279 is a prime.

It is a super-3 number, since 3×100010011311³ (a number of 34 digits) contains 333 as substring.

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 = 100010011293 and 100010011302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010021311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5260020 + ... + 5278998.

It is an arithmetic number, because the mean of its divisors is an integer number (2704650000).

Almost surely, 2^100010011311 is an apocalyptic number.

100010011311 is a deficient number, since it is larger than the sum of its proper divisors (73087588689).

100010011311 is an equidigital number, since it uses as much as digits as its factorization.

100010011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19578 (or 19558 counting only the distinct ones).

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

Adding to 100010011311 its reverse (113110010001), we get a palindrome (213120021312).

The spelling of 100010011311 in words is "one hundred billion, ten million, eleven thousand, three hundred eleven".