100001010311 has 16 divisors (see below), whose sum is σ = 105830206560. Its totient is φ = 94229775360.

The previous prime is 100001010281. The next prime is 100001010323. The reversal of 100001010311 is 113010100001.

It is a cyclic number.

It is not a de Polignac number, because 100001010311 - 2⁶ = 100001010247 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 (100001010211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677115 + ... + 2714211.

It is an arithmetic number, because the mean of its divisors is an integer number (6614387910).

Almost surely, 2^100001010311 is an apocalyptic number.

100001010311 is a deficient number, since it is larger than the sum of its proper divisors (5829196249).

100001010311 is a wasteful number, since it uses less digits than its factorization.

100001010311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37874.

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

Adding to 100001010311 its reverse (113010100001), we get a palindrome (213011110312).

The spelling of 100001010311 in words is "one hundred billion, one million, ten thousand, three hundred eleven".