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213121132001 is a prime number
BaseRepresentation
bin1100011001111100000…
…0100110010111100001
3202101002210000020211022
43012133000212113201
511442433002211001
6241523445255225
721253224506111
oct3063700462741
9671083006738
10213121132001
1182425360948
1235379a04515
13171358230cb
14a45a97d041
15582535211b
hex319f0265e1

213121132001 has 2 divisors, whose sum is σ = 213121132002. Its totient is φ = 213121132000.

The previous prime is 213121131997. The next prime is 213121132061. The reversal of 213121132001 is 100231121312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168304242001 + 44816890000 = 410249^2 + 211700^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121132001 - 22 = 213121131997 is a prime.

It is not a weakly prime, because it can be changed into another prime (213121132061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560566000 + 106560566001.

It is an arithmetic number, because the mean of its divisors is an integer number (106560566001).

Almost surely, 2213121132001 is an apocalyptic number.

It is an amenable number.

213121132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121132001 is an equidigital number, since it uses as much as digits as its factorization.

213121132001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213121132001 its reverse (100231121312), we get a palindrome (313352253313).

The spelling of 213121132001 in words is "two hundred thirteen billion, one hundred twenty-one million, one hundred thirty-two thousand, one".