2211010100313 has 64 divisors (see below), whose sum is σ = 3508443832320. Its totient is φ = 1211789376000.

The previous prime is 2211010100267. The next prime is 2211010100389. The reversal of 2211010100313 is 3130010101122.

It is a happy number.

It is not a de Polignac number, because 2211010100313 - 2⁹ = 2211010099801 is a prime.

It is a super-2 number, since 2×2211010100313² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211010100292 and 2211010100301.

It is not an unprimeable number, because it can be changed into a prime (2211010100213) 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 63 ways as a sum of consecutive naturals, for example, 183161068 + ... + 183173138.

It is an arithmetic number, because the mean of its divisors is an integer number (54819434880).

Almost surely, 2^{2211010100313} is an apocalyptic number.

It is an amenable number.

2211010100313 is a deficient number, since it is larger than the sum of its proper divisors (1297433732007).

2211010100313 is a wasteful number, since it uses less digits than its factorization.

2211010100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14078.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2211010100313 its reverse (3130010101122), we get a palindrome (5341020201435).

The spelling of 2211010100313 in words is "two trillion, two hundred eleven billion, ten million, one hundred thousand, three hundred thirteen".