100011222311313 has 32 divisors (see below), whose sum is σ = 134243010501120. Its totient is φ = 66227271010560.

The previous prime is 100011222311311. The next prime is 100011222311317. The reversal of 100011222311313 is 313113222110001.

It is not a de Polignac number, because 100011222311313 - 2¹ = 100011222311311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011222311313.

It is not an unprimeable number, because it can be changed into a prime (100011222311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11001119898 + ... + 11001128988.

It is an arithmetic number, because the mean of its divisors is an integer number (4195094078160).

Almost surely, 2^{100011222311313} is an apocalyptic number.

It is an amenable number.

100011222311313 is a deficient number, since it is larger than the sum of its proper divisors (34231788189807).

100011222311313 is a wasteful number, since it uses less digits than its factorization.

100011222311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 100011222311313 its reverse (313113222110001), we get a palindrome (413124444421314).

The spelling of 100011222311313 in words is "one hundred trillion, eleven billion, two hundred twenty-two million, three hundred eleven thousand, three hundred thirteen".