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2221131133213 is a prime number
BaseRepresentation
bin100000010100100101101…
…110110111000100011101
321212100010110002022202221
4200110211232313010131
5242342334032230323
64420212404345341
7316320462060316
oct40244556670435
97770113068687
102221131133213
11786a81690143
122ba5783a5251
131315b46bc865
147970917b60d
153cb9b65355d
hex20525bb711d

2221131133213 has 2 divisors, whose sum is σ = 2221131133214. Its totient is φ = 2221131133212.

The previous prime is 2221131133211. The next prime is 2221131133261. The reversal of 2221131133213 is 3123311311222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1200115868004 + 1021015265209 = 1095498^2 + 1010453^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221131133213 - 21 = 2221131133211 is a prime.

Together with 2221131133211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221131133211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110565566606 + 1110565566607.

It is an arithmetic number, because the mean of its divisors is an integer number (1110565566607).

Almost surely, 22221131133213 is an apocalyptic number.

It is an amenable number.

2221131133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221131133213 is an equidigital number, since it uses as much as digits as its factorization.

2221131133213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 2221131133213 its reverse (3123311311222), we get a palindrome (5344442444435).

The spelling of 2221131133213 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred thirteen".