21100311319 has 16 divisors (see below), whose sum is σ = 22345757280. Its totient is φ = 19868682240.

The previous prime is 21100311317. The next prime is 21100311341. The reversal of 21100311319 is 91311300112.

It is a cyclic number.

It is not a de Polignac number, because 21100311319 - 2¹ = 21100311317 is a prime.

It is a super-2 number, since 2×21100311319² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21100311319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100311317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2546367 + ... + 2554639.

It is an arithmetic number, because the mean of its divisors is an integer number (1396609830).

Almost surely, 2^21100311319 is an apocalyptic number.

21100311319 is a deficient number, since it is larger than the sum of its proper divisors (1245445961).

21100311319 is a wasteful number, since it uses less digits than its factorization.

21100311319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 21100311319 in words is "twenty-one billion, one hundred million, three hundred eleven thousand, three hundred nineteen".