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101132120213 is a prime number
BaseRepresentation
bin101111000101111110…
…0011011000010010101
3100200001001221000012222
41132023330123002111
53124104310321323
6114243124152125
710210101560345
oct1361374330225
9320031830188
10101132120213
1139987499843
1217724b38645
1396c9228467
144c75560d25
15296d8179c8
hex178bf1b095

101132120213 has 2 divisors, whose sum is σ = 101132120214. Its totient is φ = 101132120212.

The previous prime is 101132120207. The next prime is 101132120227. The reversal of 101132120213 is 312021231101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91495360324 + 9636759889 = 302482^2 + 98167^2 .

It is a cyclic number.

It is not a de Polignac number, because 101132120213 - 24 = 101132120197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101132120191 and 101132120200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101132120203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566060106 + 50566060107.

It is an arithmetic number, because the mean of its divisors is an integer number (50566060107).

Almost surely, 2101132120213 is an apocalyptic number.

It is an amenable number.

101132120213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132120213 is an equidigital number, since it uses as much as digits as its factorization.

101132120213 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 101132120213 its reverse (312021231101), we get a palindrome (413153351314).

The spelling of 101132120213 in words is "one hundred one billion, one hundred thirty-two million, one hundred twenty thousand, two hundred thirteen".