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213120102001 is a prime number
BaseRepresentation
bin1100011001111011110…
…0101010111001110001
3202101002201001220221011
43012132330222321301
511442432221231001
6241523411230521
721253212656152
oct3063674527161
9671081056834
10213120102001
1182424818004
12353795a8441
1317135552341
14a45a791929
1558251ebd51
hex319ef2ae71

213120102001 has 2 divisors, whose sum is σ = 213120102002. Its totient is φ = 213120102000.

The previous prime is 213120101983. The next prime is 213120102007. The reversal of 213120102001 is 100201021312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111856133601 + 101263968400 = 334449^2 + 318220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213120102001 is a prime.

It is not a weakly prime, because it can be changed into another prime (213120102007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560051000 + 106560051001.

It is an arithmetic number, because the mean of its divisors is an integer number (106560051001).

Almost surely, 2213120102001 is an apocalyptic number.

It is an amenable number.

213120102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120102001 is an equidigital number, since it uses as much as digits as its factorization.

213120102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213120102001 its reverse (100201021312), we get a palindrome (313321123313).

The spelling of 213120102001 in words is "two hundred thirteen billion, one hundred twenty million, one hundred two thousand, one".