100312113022011 has 24 divisors (see below), whose sum is σ = 158068007675760. Its totient is φ = 60795052459200.

The previous prime is 100312113021997. The next prime is 100312113022061. The reversal of 100312113022011 is 110220311213001.

100312113022011 is a `hidden beast` number, since 1 + 0 + 0 + 312 + 1 + 130 + 220 + 1 + 1 = 666.

It is not a de Polignac number, because 100312113022011 - 2²⁹ = 100311576151099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100312113022061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41252301 + ... + 43616241.

It is an arithmetic number, because the mean of its divisors is an integer number (6586166986490).

Almost surely, 2^{100312113022011} is an apocalyptic number.

100312113022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100312113022011 is a deficient number, since it is larger than the sum of its proper divisors (57755894653749).

100312113022011 is a wasteful number, since it uses less digits than its factorization.

100312113022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792587 (or 2792584 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100312113022011 its reverse (110220311213001), we get a palindrome (210532424235012).

The spelling of 100312113022011 in words is "one hundred trillion, three hundred twelve billion, one hundred thirteen million, twenty-two thousand, eleven".