2211021031313 has 2 divisors, whose sum is σ = 2211021031314. Its totient is φ = 2211021031312.

The previous prime is 2211021031279. The next prime is 2211021031319. The reversal of 2211021031313 is 3131301201122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2106480682384 + 104540348929 = 1451372^2 + 323327^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211021031313 - 2¹² = 2211021027217 is a prime.

It is a super-2 number, since 2×2211021031313² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2211021031319) 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 as a sum of consecutive naturals, namely, 1105510515656 + 1105510515657.

It is an arithmetic number, because the mean of its divisors is an integer number (1105510515657).

Almost surely, 2^{2211021031313} is an apocalyptic number.

It is an amenable number.

2211021031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211021031313 is an equidigital number, since it uses as much as digits as its factorization.

2211021031313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2211021031313 its reverse (3131301201122), we get a palindrome (5342322232435).

The spelling of 2211021031313 in words is "two trillion, two hundred eleven billion, twenty-one million, thirty-one thousand, three hundred thirteen".