22211210100313 has 16 divisors (see below), whose sum is σ = 23972501588112. Its totient is φ = 20457455616000.

The previous prime is 22211210100283. The next prime is 22211210100329. The reversal of 22211210100313 is 31300101211222.

It can be written as a sum of positive squares in 8 ways, for example, as 1901883711744 + 20309326388569 = 1379088^2 + 4506587^2 .

It is not a de Polignac number, because 22211210100313 - 2¹³ = 22211210092121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22211210100113) 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, 245434033 + ... + 245524513.

It is an arithmetic number, because the mean of its divisors is an integer number (1498281349257).

Almost surely, 2^{22211210100313} is an apocalyptic number.

It is an amenable number.

22211210100313 is a deficient number, since it is larger than the sum of its proper divisors (1761291487799).

22211210100313 is a wasteful number, since it uses less digits than its factorization.

22211210100313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131916.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 22211210100313 its reverse (31300101211222), we get a palindrome (53511311311535).

The spelling of 22211210100313 in words is "twenty-two trillion, two hundred eleven billion, two hundred ten million, one hundred thousand, three hundred thirteen".